Multiple soliton solutions and multiple singular soliton solutions of the modified KdV equation with first-order correction

被引：2

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

PHYSICA SCRIPTA | 2010年 / 82卷 / 05期

关键词：

HIROTA 3-SOLITON CONDITION; SEARCH;

D O I：

10.1088/0031-8949/82/05/055006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we study the modified KdV equation with first-order correction. Multiple soliton solutions and multiple singular soliton solutions are formally derived for this perturbed model. The simplified form of the bilinear method will be employed to carry out this analysis.

引用

页数：4

共 50 条

[11] Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) : 277 - 283
[12] Multiple soliton solutions and other exact solutions for a two-mode KdV equation
Wazwaz, Abdul-Majid
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 2277 - 2283
[13] Perturbed soliton solutions for an integral modified KdV equation
Saravanan, M.
Herman, Russell L.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 91
[14] Resonant multiple soliton and rogue type multiple lump wave solutions of the modified KdV-KP equation
Akram, Ghazala
Sadaf, Maasoomah
Zainab, Iqra
Mahmoud, Emad E.
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (07)
[15] Multiple soliton solutions of the Boussinesq equation
Yu, J
Sun, QP
Zhang, WJ
PHYSICA SCRIPTA, 2005, 71 (02) : 129 - 131
[16] Multiple soliton solutions and multiple singular soliton solutions for the (3+1)-dimensional Burgers equations
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) : 942 - 948
[17] From single- to multiple-soliton solutions of the perturbed KdV equation
Zarmi, Yair
PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (23) : 2987 - 3007
[18] Variable coefficient equations of the Kadomtsev-Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
Jaradat, H. M.
Al-Shara, Safwan
Awawdeh, Fadi
Alquran, Marwan
PHYSICA SCRIPTA, 2012, 85 (03)
[19] Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS LETTERS, 2019, 88 (1-7) : 1 - 7
[20] Soliton solutions of the KdV equation with higher-order corrections
Wazwaz, Abdul-Majid
PHYSICA SCRIPTA, 2010, 82 (04)

← 1 2 3 4 5 →