Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions

被引：0

作者：

Abdul-Majid Wazwaz

机构：

[1] Saint Xavier University,Department of Mathematics

来源：

Nonlinear Dynamics | 2018年 / 94卷

关键词：

Fourth-order integrable equation; Painlevé test; Multiple soliton solutions; Multiple complex soliton solutions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we develop two new fourth-order integrable equations represented by nonlinear PDEs of second-order derivative in time t. The new equations model both right- and left-going waves in a like manner to the Boussinesq equation. We will employ the Painlevé analysis to formally show the complete integrability of each equation. The simplified Hirota’s method is used to derive multiple soliton solutions for this equation. We introduce a complex form of the simplified Hirota’s method to develop multiple complex soliton solutions. More exact traveling wave solutions for each equation will be derived as well.

引用

页码：2655 / 2663

页数：8

共 50 条

[1] Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions
Wazwaz, Abdul-Majid
[J]. NONLINEAR DYNAMICS, 2018, 94 (04) : 2655 - 2663
[2] Comment on ‘two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions’
Yunxia Tian
Mengxia Zhang
[J]. Nonlinear Dynamics, 2022, 107 : 3175 - 3176
[3] Comment on 'two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions'
Tian, Yunxia
Zhang, Mengxia
[J]. NONLINEAR DYNAMICS, 2022, 107 (03) : 3175 - 3176
[4] Matrix Integrable Fourth-Order Nonlinear Schrodinger Equations and Their Exact Soliton Solutions
Ma, Wen-Xiu
[J]. CHINESE PHYSICS LETTERS, 2022, 39 (10)
[5] New (3+1)-dimensional integrable fourth-order nonlinear equation: lumps and multiple soliton solutions
Wazwaz, Abdul-Majid
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2022, 32 (05) : 1664 - 1673
[6] Matrix Integrable Fourth-Order Nonlinear Schr?dinger Equations and Their Exact Soliton Solutions
马文秀
[J]. Chinese Physics Letters, 2022, 39 (10) : 6 - 11
[7] Multiple soliton solutions and multiple complex soliton solutions for two distinct Boussinesq equations
Abdul-Majid Wazwaz
[J]. Nonlinear Dynamics, 2016, 85 : 731 - 737
[8] Multiple soliton solutions and multiple complex soliton solutions for two distinct Boussinesq equations
Wazwaz, Abdul-Majid
[J]. NONLINEAR DYNAMICS, 2016, 85 (02) : 731 - 737
[9] Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions
Wazwaz, Abdul-Majid
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (02) : 397 - 405
[10] Multiple soliton solutions and multiple singular soliton solutions for two integrable systems
Wazwaz, Abdul-Majid
[J]. PHYSICS LETTERS A, 2008, 372 (46) : 6879 - 6886

← 1 2 3 4 5 →