Multiwave, rogue wave, periodic wave, periodic cross-lump wave, periodic cross-kink wave, lump soliton, breather lump, homoclinic breather, periodic cross-kink, M-shaped rational solutions and their interactions for the Degasperis–Procesi equation

IF 2.6 4区 物理与天体物理 Q2 PHYSICS, APPLIED International Journal of Modern Physics B Pub Date : 2023-01-27 DOI:10.1142/s0217979223501722
Aly R. Seaway, S. Rizvi, Ahtsham Ahmad, Sarfaraz Ahmed
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引用次数: 2

Abstract

We examine multiwave (MW), rogue wave (RW), periodic wave (PW), homoclinic breather (HB), breather lump wave (BLW), [Formula: see text]-shaped rational solutions, lump soliton, kink cross-rational (KCR), periodic cross-kink rational (PCKR), periodic cross-rational (PCR) solutions for the Degasperis–Procesi (DP) equation in shallow water waves through appropriate polynomial function scheme. We also compute some interactions for stated model including interaction of [Formula: see text]-shaped soliton with one kink, interactional solution with two kinks also lump soliton with kink one and kink two solutions. Furthermore, we made suitable 3D, 2D and contour profiles via appropriate parameters.
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Degasperis-Procesi方程的多波、异常波、周期波、周期交叉块波、周期交叉扭结波、块状孤子、呼吸块、同斜呼吸、周期交叉扭结、m形有理解及其相互作用
我们通过适当的多项式函数格式研究了浅水波中Degasperis-Procesi (DP)方程的多波(MW)、异常波(RW)、周期波(PW)、同斜呼吸(HB)、呼吸块状波(BLW)、[公式:见文本]形有理解、块状孤子、扭结交叉有理(KCR)、周期交叉有理(PCKR)、周期交叉有理(PCR)解。我们还计算了所述模型的一些相互作用,包括[公式:见文]形孤子与一个扭结的相互作用,两个扭结的相互作用解,以及扭结一和扭结二解的混合孤子的相互作用。此外,我们还通过适当的参数制作了合适的3D, 2D和轮廓轮廓。
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来源期刊
International Journal of Modern Physics B
International Journal of Modern Physics B 物理-物理:凝聚态物理
CiteScore
3.70
自引率
11.80%
发文量
417
审稿时长
3.1 months
期刊介绍: Launched in 1987, the International Journal of Modern Physics B covers the most important aspects and the latest developments in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low dimensional materials. One unique feature of this journal is its review section which contains articles with permanent research value besides the state-of-the-art research work in the relevant subject areas.
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