Multi-Peak and Propagation Behavior of M-Shape Solitons in (2+1)-Dimensional Integrable Schwarz-Korteweg-de Vries Problem

被引：9

作者：

Ahmed, Sarfaraz ^{[1
]}

Seadawy, Aly R. ^{[2
]}

Rizvi, Syed T. R. ^{[1
]}

Raza, Umar ^{[1
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad 45550, Pakistan

[2] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah 41411, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 10期

关键词：

nonlinear waves; computational simulations; homoclinic breather; interaction phenomena; TRAVELING-WAVE SOLUTIONS; LONG-WAVE; EQUATION;

D O I：

10.3390/fractalfract7100709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines the propagation of M-shape solitons and their interactions with kink waves to the (2 + 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by applying the symbolic computation with ansatz functions technique and logarithmic transformation. The governing model usually appears in the nonlinear shallow water waves and fluid mechanics. We discuss various nonlinear waves like multiwave solutions (MSs), homoclinic breather (HB), M-shape solitons, single exponential form (one-kink), and double exponential form (two-kink). These waves have lot of applications in fluid dynamics, nonlinear optics, chemical reaction networks, biological systems, climate science, and material science. We also study interaction among M-shape solitons with kink wave. At the end, we discuss the stability characteristics of all solutions.

引用

页数：19

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