Doubly periodic solutions and non-topological solitons of (2+1) - dimension Wazwaz Kaur Boussinesq equation employing Jacobi elliptic function method

被引：15

作者：

Silambarasan, Rathinavel ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

机构：

[1] Vellore Inst Technol, Sch Informat Technol & Engn, Dept Informat Technol, Vellore 632014, Tamil Nadu, India

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 175卷

关键词：

Wazwaz Karu Boussinesq equation Jacobi elliptic solutions Non-topological soliton Complex singular soliton; POWER-LAW NONLINEARITY; PORSEZIAN-DANIEL MODEL; FIBER BRAGG GRATINGS; OPTICAL SOLITONS; CONCATENATION MODEL; REFRACTIVE-INDEX; WAVE SOLUTIONS; PERTURBATION; ROD;

D O I：

10.1016/j.chaos.2023.113997

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research communication the Boussinesq like equation namely (2 + 1) - dimensional Wazwaz Kaur Boussinesq equation is studied and gotten their Jacobi elliptic function (doubly periodic) solutions employing the simple algebraic Jacobi elliptic function method. The said method makes the two transformations of nonlinear partial differential equations to ordinary differential equations to solvable system of algebraic equations. The gotten doubly periodic solutions are modular transformed to show the degeneration into non-topological solitons, compound non-topological singular solitons and complex singular solitons. The three dimensional surfaces are drawn for few elliptic solutions and solitons.

引用

页数：18

共 24 条

[21] A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the (2+1)-dimensional dispersive long wave equation
Chen, Y
Wang, Q
APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (02) : 919 - 929
[22] Elliptic function solutions of (2+1)-dimensional long wave - Short wave resonance interaction equation via a sinh-Gordon expansion method
Yan, ZY
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (1-2): : 23 - 28
[23] A generalized F-expansion method to find abundant families of Jacobi Elliptic Function solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
不详
Chaos Solitons Fractals, 4 (959-979):
[24] Jacobi elliptic solutions, bright, compound bright-complex singular solitons of 3+1-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( 3+1\right) -$$\end{document} dimensional Wazwaz Kaur Boussinesq equation
Kottakkaran Sooppy Nisar
Rathinavel Silambarasan
Optical and Quantum Electronics, 56 (8)

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