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Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids 流体力学与流体中含气泡的(3+1)维广义非线性波动方程的特定波廓和闭型孤子解
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2023-01-01 DOI: 10.1016/j.joes.2021.12.003
Sachin Kumar , Ihsanullah Hamid , M.A. Abdou

Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific applications, and marine engineering. The generalized exponential rational function (GERF) technique is used in this article to seek several closed-form wave solutions and the evolving dynamics of different wave profiles to the generalized nonlinear wave equation in (3+1) dimensions, which explains several more nonlinear phenomena in liquids, including gas bubbles. A large number of closed-form wave solutions are generated, including trigonometric function solutions, hyperbolic trigonometric function solutions, and exponential rational functional solutions. In the dynamics of distinct solitary waves, a variety of soliton solutions are obtained, including single soliton, multi-wave structure soliton, kink-type soliton, combo singular soliton, and singularity-form wave profiles. These determined solutions have never previously been published. The dynamical wave structures of some analytical solutions are graphically demonstrated using three-dimensional graphics by providing suitable values to free parameters. This technique can also be used to obtain the soliton solutions of other well-known equations in engineering physics, fluid dynamics, and other fields of nonlinear sciences.

非线性演化方程(NLEE)经常被用来确定自然现象的基本原理。非线性方程在非线性科学、海洋物理学、流体动力学、等离子体物理学、科学应用和海洋工程中得到了广泛的研究。本文利用广义指数有理函数(GERF)技术,对(3+1)维广义非线性波动方程寻求几种闭合形式的波动解和不同波形的演化动力学,解释了包括气泡在内的液体中的几种非线性现象。生成了大量的闭合形式波解,包括三角函数解、双曲三角函数解和指数有理函数解。在不同孤立波的动力学中,得到了各种孤立子解,包括单孤立子、多波结构孤立子、扭结型孤立子、组合奇异孤立子和奇异型波形。这些确定的解决方案以前从未发表过。通过为自由参数提供合适的值,使用三维图形以图形方式演示了一些解析解的动态波结构。该技术还可以用于获得工程物理、流体动力学和其他非线性科学领域中其他著名方程的孤立子解。
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引用次数: 19
A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform 通过Shehu变换求解磁化等离子体中离子声波的Zakharov-Kuznetsov方程的鲁棒计算方法
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2023-01-01 DOI: 10.1016/j.joes.2021.11.006
Parthkumar P. Sartanpara, Ramakanta Meher

The application of the q-homotopy analysis Shehu transform method (q-HAShTM) to discover the estimated solution of fractional Zakharov-Kuznetsov equations is investigated in this study. In the presence of a uniform magnetic field, the Zakharov-Kuznetsov equations regulate the behaviour of nonlinear acoustic waves in a plasma containing cold ions and hot isothermal electrons. The q-HAShTM is a stable analytical method that combines homotopy analysis and the Shehu transform. This q-homotopy investigation Shehu transform is a constructive method that leads to the Zakharov-Kuznetsov equations, which regulate the propagation of nonlinear ion-acoustic waves in a plasma. It is a more semi-analytical method for adjusting and controlling the convergence region of the series solution and overcoming some of the homotopy analysis method’s limitations.

本文研究了q-同宗分析Shehu变换方法(q-HAShTM)在求解分数阶Zakharov-Kuz涅佐夫方程估计解中的应用。在均匀磁场存在的情况下,Zakharov-Kuz涅佐夫方程调节了含有冷离子和热等温电子的等离子体中非线性声波的行为。q-HAShTM是一种稳定的分析方法,它结合了仿射分析和舍胡变换。这种q-同宗研究Shehu变换是一种构造方法,它导致了Zakharov-Kuz涅佐夫方程,该方程调节了非线性离子声波在等离子体中的传播。它是一种更具半解析性的方法,用于调整和控制级数解的收敛区域,并克服了同伦分析方法的一些局限性。
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引用次数: 12
On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas 修正KP孤子在多组分复杂等离子体中的非线性传播动力学与相互作用
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.005
Muhammad Shohaib , W. Masood , R. Jahangir , M. Siddiq , Sadah A. Alkhateeb , S.A. El-Tantawy

Dust-acoustic waves (DAWs) are analyzed in the small amplitude limit in a collisionless unmagnetized dusty plasma whose constituents are inertial dust grains, massless ions expressed by the generalized (r,q) distribution and inertialess Maxwellian electrons using the fluid theory of plasmas. The modified Kadomtsev-Petviashvili (mKP) equation is derived at a critical plasma condition for which the quadratic nonlinearity vanishes. The propagation of single soliton and interaction of two solitons are analyzed for the mKP equation in the context of plasma physics by employing Hirota bilinear formalism. The effects of the flatness parameter r and tail parameter q of the ions on the frequency of the DAWs are studied and the comparison with Maxwellian and kappa distributions is drawn. Using the plasma parameters corresponding to the Saturn’s E-ring, the range of electric field amplitude for dust-acoustic solitary waves (DASWs) for different ion distributions is calculated and is shown to agree very well with the Cassini Wideband Receiver (WBR) observations. The interaction time of two DASWs for non-Maxwellian ion distributions is estimated and shown to be fastest for the (r,q) distributed ions. The interesting feature of the interaction between compressive solitons with their rarefactive counterparts is also discussed in detail.

用等离子体流体理论分析了由惯性尘埃颗粒、广义(r,q)分布表示的无质量离子和无惯性麦克斯韦电子组成的无碰撞非磁化尘埃等离子体中的小振幅声波。在二次非线性消失的临界等离子体条件下,导出了修正Kadomtsev-Petviashvili (mKP)方程。利用Hirota双线性形式分析了等离子体物理背景下的mKP方程中单孤子的传播和两个孤子的相互作用。研究了离子的平整度参数r和尾形参数q对daw频率的影响,并与麦克斯韦分布和kappa分布进行了比较。利用与土星e环相对应的等离子体参数,计算了不同离子分布下尘声孤波(DASWs)的电场振幅范围,结果与卡西尼宽频带接收器(WBR)的观测结果非常吻合。估计了非麦克斯韦离子分布下两个DASWs的相互作用时间,并表明(r,q)分布离子的相互作用时间最快。本文还详细讨论了压缩孤子与稀薄孤子相互作用的有趣特征。
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引用次数: 16
Durability evaluation of GFRP rebars in harsh alkaline environment using optimized tree-based random forest model 基于优化树木随机森林模型的GFRP钢筋在恶劣碱性环境下耐久性评价
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.012
Mudassir Iqbal , Daxu Zhang , Fazal E. Jalal

GFRP bars reinforced in submerged or moist seawater and ocean concrete is subjected to highly alkaline conditions. While investigating the durability of GFRP bars in alkaline environment, the effect of surrounding temperature and conditioning duration on tensile strength retention (TSR) of GFRP bars is well investigated with laboratory aging of GFRP bars. However, the role of variable bar size and volume fraction of fiber have been poorly investigated. Additionally, various structural codes recommend the use of an additional environmental reduction factor to accurately reflect the long-term performance of GFRP bars in harsh environments. This study presents the development of Random Forest (RF) regression model to predict the TSR of laboratory conditioned bars in alkaline environment based on a reliable database comprising 772 tested specimens. RF model was optimized, trained, and validated using variety of statistical checks available in the literature. The developed RF model was used for the sensitivity and parametric analysis. Moreover, the formulated RF model was used for studying the long-term performance of GFRP rebars in the alkaline concrete environment. The sensitivity analysis exhibited that temperature and pH are among the most influential attributes in TSR, followed by volume fraction of fibers, duration of conditioning, and diameter of the bars, respectively. The bars with larger diameter and high-volume fraction of fibers are less susceptible to degradation in contrast to the small diameter bars and relatively low fiber's volume fraction. Also, the long-term performance revealed that the existing recommendations by various codes regarding environmental reduction factors are conservative and therefore needs revision accordingly.

GFRP筋在浸没或潮湿的海水和海洋混凝土中增强,承受高碱性条件。在研究GFRP筋在碱性环境下的耐久性的同时,通过对GFRP筋进行室内时效,研究了环境温度和调质时间对GFRP筋抗拉强度保持(TSR)的影响。然而,对纤维体积分数和棒材尺寸的影响研究甚少。此外,各种结构规范建议使用额外的环境减少系数,以准确反映GFRP筋在恶劣环境中的长期性能。本文基于772个试验样本的可靠数据库,建立了随机森林(RF)回归模型来预测碱性环境下实验室条材的TSR。RF模型被优化、训练,并使用文献中可用的各种统计检查进行验证。建立的射频模型用于灵敏度和参数分析。并利用所建立的射频模型对GFRP筋在碱性混凝土环境中的长期性能进行了研究。灵敏度分析表明,温度和pH是影响TSR的主要因素,其次是纤维体积分数、调理时间和棒直径。与直径小、纤维体积分数低的棒材相比,直径大、纤维体积分数高的棒材不易降解。此外,长期表现显示,现有的各种守则关于环境减少因素的建议是保守的,因此需要作出相应的修订。
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引用次数: 29
Precontrol of short-period motion for a Tension Leg Platform 张力腿平台短周期运动预控制
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2022.11.003
Hao Wu , Yan Lin , Yongxi Wu

The Tension Leg Platform (TLP) is a hybrid, compliant platform designed to sustain springing and ringing responses that are correlated to short-period motion. Since the period of short-period motion is within the wave energy concentration region, TLPs may experience sensitive short-period motion, such as resonance and green water, that usually cause serious damage to TLPs. In this study, a precontrol methodology is presented as a solution to prevent TLP-sensitive short-period motion. By applying the precontrol methodology, the parameters of TLP can be predetermined, allowing TLP motion performance to meet the requirements of short-period motion before sensitive motions actually occur. For example, the damping coefficient should be less than 4.3, the tendons’ stiffness should be larger than 0.91 × 108, and the dimensionless draft should be less than 0.665. The development of a precontrol methodology is based on a solid theoretical foundation. First, a series of simple and high-fidelity numerical models are proposed to simulate the natural period of roll, natural period of heave, and green water height. Second, a constraint regime is generated based on the numerical models and the sensitive motion range of short-period motion. The constraint regime is divided into two parts: the control range (corresponding to sensitive short-period motion) and the feasible range (the complementary set of control ranges in the whole parameter constraint domain). Finally, TLP parameters are derived from the calculated feasible range. The precontrol methodology goes beyond the conventional approach of real-time control by changing the control from a remedial action to a preventive action.

张力腿平台(TLP)是一种混合型顺应平台,设计用于维持与短周期运动相关的弹簧和振铃反应。由于短周期运动的周期在波能集中区域内,TLP 可能会经历敏感的短周期运动,如共振和绿水,这通常会对 TLP 造成严重损坏。本研究提出了一种预控方法,作为防止 TLP 敏感短周期运动的解决方案。通过应用预控方法,可以预先确定 TLP 的参数,使 TLP 的运动性能在敏感运动实际发生之前就能满足短周期运动的要求。例如,阻尼系数应小于 4.3,筋的刚度应大于 0.91 × 108,无量纲牵伸应小于 0.665。预控方法的制定基于坚实的理论基础。首先,提出了一系列简单而高保真的数值模型来模拟滚动自然周期、翻腾自然周期和绿水高度。其次,根据数值模型和短周期运动的敏感运动范围生成了约束机制。约束机制分为两部分:控制范围(对应于敏感的短周期运动)和可行范围(整个参数约束域中控制范围的补充集)。最后,根据计算出的可行范围得出 TLP 参数。预控制方法超越了传统的实时控制方法,将控制从补救措施转变为预防措施。
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引用次数: 0
Tsunami wave propagation model: A fractional approach 海啸波传播模型:分式方法
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.004
Priti Tandel , Hardik Patel , Trushit Patel

This paper presents a fractional approach to study the mathematical model of tsunami wave propagation along a coastline of an ocean. Fractional Reduced Differential Transform Method (FRDTM) is used to analyze this model. The present model has been studied on the shallow-water assumption. It is represented by a time-fractional coupled system of non-linear partial differential equations. Solutions to the proposed model for different coastal slopes and ocean depths have been obtained. Effects of coast slope and sea depth variations on tsunami wave velocity and wave amplification have been demonstrated at different time levels and different orders α. The obtained results are compared with Elzaki Adomian Decomposition Method (EADM) to validate the proposed method for an order α=1.

本文提出了一种分式方法来研究海啸波沿海洋海岸线传播的数学模型。采用分数阶降阶微分变换方法(FRDTM)对该模型进行分析。本模型是在浅水假设下进行研究的。它用非线性偏微分方程的时间分数耦合系统来表示。得到了不同海岸坡度和海洋深度下模型的解。在不同的时间水平和不同的α阶上证明了海岸坡度和海深变化对海啸波速和波浪放大的影响。将所得结果与Elzaki Adomian分解方法(EADM)进行比较,验证了该方法在阶数α=1时的有效性。
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引用次数: 13
Study of narrow waterways congestion based on automatic identification system (AIS) data: A case study of Houston Ship Channel 基于自动识别系统(AIS)数据的狭窄航道拥堵研究——以休斯顿航道为例
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.010
Masood Jafari Kang , Sepideh Zohoori , Maryam Hamidi , Xing Wu

Using automatic identification system (AIS) data, this article first has extended the definition of three widely used roadway congestion indices to maritime transportation systems (MTS), traffic speed index (TSI), traffic rate index (TRI), and dwell time index (DTI). Next, a methodology is developed to measure the indices based on AIS data, considering various factors, including path geometry, time of day, and the type and size of vessels, and finally the method has been applied to the AIS data of the Houston Ship Channel (HSC) to evaluate the applicability in real cases. The results show that although average TSI and TRI cannot represent waterway congestion, the real-time values (rather than the average) at the micro level can help finding location, time, and severity of traffic congestion. Besides, while TSI and TRI have shortcomings, both average and real-time dwell time index (DTI) can quantify traffic congestion and highlight severity in different waterway segments for different types of vessels. When congestion happens at some narrow waterways, vessels need to wait at sea buoy or docks, thus dwell time index (DTI) can quantify traffic congestion better than in-transit indices such as travel speed, TSI. According to HSC DTI, most tankers experience long waiting times at the sea buoy and Galveston Bay, while cargo vessels experience delays at Bayport and Barbour's Cut terminals. This paper helps the decision-makers quantify congestion in different sections of a waterway and provides measures to compare congestion for national competing projects at different waterways.

本文首先利用自动识别系统(AIS)数据,将三种广泛使用的道路拥堵指标的定义扩展到海上运输系统(MTS),即交通速度指数(TSI)、交通率指数(TRI)和停留时间指数(DTI)。其次,提出了一种基于AIS数据的指标测量方法,考虑了路径几何形状、时间、船舶类型和尺寸等多种因素,最后将该方法应用于休斯顿船舶航道(HSC)的AIS数据,以评估其在实际情况中的适用性。结果表明,虽然平均TSI和TRI不能代表航道拥堵,但微观层面的实时值(而不是平均值)可以帮助找到交通拥堵的位置、时间和严重程度。此外,TSI和TRI虽然存在不足,但平均停留时间指数和实时停留时间指数(DTI)都可以量化交通拥堵,并突出不同航段不同类型船舶的严重程度。当某些狭窄航道发生拥堵时,船舶需要在海上浮标或码头等待,因此停留时间指数(DTI)比航行速度、TSI等在途指数更能量化交通拥堵。根据HSC DTI的数据,大多数油轮在海上浮标和加尔维斯顿湾的等待时间很长,而货船在Bayport和Barbour's Cut码头的等待时间也很长。本文可以帮助决策者量化水道不同路段的拥堵情况,并为国家竞争项目在不同水道的拥堵情况提供比较措施。
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引用次数: 9
Linear and quadratic damping coefficients of a single module of a very large floating structure over variable bathymetry: Physical and numerical free-decay experiments 一个非常大的浮动结构在可变水深上的单个模块的线性和二次阻尼系数:物理和数值自由衰减实验
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.011
Yiting Wang , Ziying Tang , Lei Wang , Xuefeng Wang

The linearity assumption is widely used when acquiring the hydrodynamic coefficients of a floating structure. However, the linear damping is frequently underestimated, especially for the natural frequency. To investigate the sloping seafloor effects on the damping terms of a single module of a semi-submersible Very Large Floating Structure (VLFS), this paper revisits the conventional formulation and further proposes the direct integration method for obtaining the linear and quadratic damping coefficients from free-decay tests. Numerical free-decay simulations of the single module over variable bathymetry are carried out by the CFD numerical tank. Corresponding model tests are also implemented to verify and validate against the numerical solutions. The effects of the sloping seafloor, as well as the water depth, on the hydrodynamic coefficients are investigated based on the validated CFD modeling. Both numerical and experimental results indicate that the acquisition of the linear and quadratic damping coefficients is sensitive to the data-processing and identification approaches. For the case studied in present paper, the identification errors introduced by the conventional method are 1.5% while they are 0.5% using the direct integration method. The quadratic damping coefficient for heave mode decreases about 10.4% when the sloping angle increases from 0 to 6 deg.

在求解浮式结构的水动力系数时,普遍采用线性假设。然而,线性阻尼经常被低估,特别是对于固有频率。为了研究海底倾斜对半潜式超大型浮式结构(VLFS)单模块阻尼项的影响,本文回顾了传统公式,并进一步提出了从自由衰减试验中获得线性和二次阻尼系数的直接积分方法。利用CFD数值槽对变水深单模块自由衰减进行了数值模拟。并进行了相应的模型试验,对数值解进行了验证和验证。基于已验证的CFD模型,研究了倾斜海床和水深对水动力系数的影响。数值和实验结果表明,线性和二次阻尼系数的获取对数据处理和识别方法很敏感。对于本文研究的案例,传统方法引入的识别误差为1.5%,而直接积分法引入的识别误差为0.5%。当倾斜角度从0°增加到6°时,升沉模式的二次阻尼系数降低了约10.4%。
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引用次数: 3
The phase shift analysis of the colliding dissipative KdV solitons 碰撞耗散KdV孤子的相移分析
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.09.021
Wedad Albalawi , S.A. El-Tantawy , Sadah A. Alkhateeb

In this work, the head-on collisions of the non-stationary dissipative soliton in ultracold neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) approach is adopted for reducing the fluid equations of the UNPs to two-counterpropagating damped Korteweg-de Vries (dKdV) equations. The dKdV equation is not an integrable Hamiltonian system, i.e., does not have an exact solution. Thus, one of the main goal of this paper is to find a new general approximate analytical solution to the dKdV equation for investigating the mechanism of the propagation and interaction of the non-stationary dissipative solitons. The residual error is estimated for checking the accuracy of the new obtained solution. The approximate analytical soliton solutions are adopted for deriving the temporal phase shifts after the collision. The impact of physical parameters on the nonstationary dissipative soliton profile and the temporal phase shifts is discussed. The obtained results will contribute to understand the mechanism of propagation and interaction of many nonlinear phenomena in different nonlinear mediums such as ocean, sea, optical fiber, plasma physics, etc.

本文研究了超冷中性等离子体(UNPs)中非稳态耗散孤子的正面碰撞。采用扩展的Poincare-Lighthill-Kuo (PLK)方法将UNPs的流体方程简化为双反传播阻尼Korteweg-de Vries (dKdV)方程。dKdV方程不是可积哈密顿系统,即没有精确解。因此,本文的主要目标之一是寻找一种新的dKdV方程的一般近似解析解,以研究非平稳耗散孤子的传播和相互作用机制。残差估计用于检验新解的精度。采用近似解析孤子解来推导碰撞后的时间相移。讨论了物理参数对非平稳耗散孤子剖面和时间相移的影响。所得结果将有助于理解海洋、海洋、光纤、等离子体物理等不同非线性介质中许多非线性现象的传播和相互作用机制。
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引用次数: 20
A variety of novel closed‐form soliton solutions to the family of Boussinesq‐like equations with different types 不同类型类Boussinesq方程族的各种新颖闭形孤子解
IF 7.1 1区 工程技术 Q1 ENGINEERING, MARINE Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.007
Dipankar Kumar , Gour Chandra Paul , Aly R. Seadawy , M.T. Darvishi

This paper deals with the closed-form solutions to the family of Boussinesq-like equations with the effect of spatio-temporal dispersion. The sine-Gordon expansion and the hyperbolic function approaches are efficiently applied to the family of Boussinesq-like equations to explore novel solitary, kink, anti-kink, combo, and singular-periodic wave solutions. The attained solutions are expressed by the trigonometric and hyperbolic functions including tan, sec, cot, csc, tanh, sech, coth, csch, and of their combination. In addition, the mentioned two approaches are applied to the aforesaid models in the sense of Atangana conformable derivative or Beta derivative to attain new wave solutions. Three-dimensional and two-dimensional graphs of some of the obtained novel solutions satisfying the corresponding equations of interest are provided to understand the underlying mechanisms of the stated family. For the bright wave solutions in terms of Atangana’s conformable derivative, the amplitudes of the bright wave gradually decrease, but the smoothness increases when the fractional parameters α and β increase. On the other hand, the periodicities of periodic waves increase. The attained new wave solutions can motivate applied scientists for engineering their ideas to an optimal level and they can be used for the validation of numerical simulation results in the propagation of waves in shallow water and other nonlinear cases. The performed approaches are found to be simple and efficient enough to estimate the solutions attained in the study and can be used to solve various classes of nonlinear partial differential equations arising in mathematical physics and engineering.

本文研究了一类具有时空色散效应的类布辛方程族的闭型解。将正弦戈登展开和双曲函数方法有效地应用于类boussinesq方程族,以探索新的孤、扭结、反扭结、组合和奇异周期波解。得到的解由tan、sec、cot、csc、tanh、sech、coth、csch及其组合的三角函数和双曲函数表示。此外,将上述两种方法在Atangana共形导数或Beta导数意义上应用于上述模型,以获得新的波解。本文提供了一些满足相关方程的新解的三维和二维图,以了解所述族的潜在机制。对于基于Atangana共形导数的亮波解,随着分数参数α和β的增加,亮波的振幅逐渐减小,但平滑度增加。另一方面,周期波的周期性增加。所获得的新波浪解可以激励应用科学家将他们的思想工程化到最佳水平,并且可以用于浅水和其他非线性情况下波浪传播的数值模拟结果的验证。所采用的方法简单有效,足以估计所得到的解,并可用于求解数学物理和工程中出现的各类非线性偏微分方程。
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引用次数: 6
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Journal of Ocean Engineering and Science
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