非线性薛定谔方程的峰子、周期峰子、紧凑子和分岔与库德里亚肖夫折射率定律

IF 1.4 4区物理与天体物理 Q2 MATHEMATICS, APPLIED Journal of Nonlinear Mathematical Physics Pub Date : 2024-04-02 DOI:10.1007/s44198-024-00184-2

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引用次数: 0

摘要

摘要本文考虑了具有库德里亚肖夫折射率定律的非线性薛定谔方程。通过使用动力系统方法，我们得到了行波系统在不同参数条件下的相位肖像分岔。对应于一些特殊的水平曲线，我们推导出了不同参数条件下可能的精确显式参数表示解（包括峰子、周期峰子、孤波解和紧凑子）。

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Peakon, Periodic Peakons, Compactons and Bifurcations of nonlinear Schrödinger’s Equation with Kudryashov’s Law of Refractive Index

Abstract

In this paper, we consider the nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the traveling wave system under different parameter conditions. Corresponding to some special level curves, we derive possible exact explicit parametric representations of solutions (including peakon, periodic peakon, solitary wave solutions and compactons) under different parameter conditions.

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来源期刊

Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics