Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme

被引：9

作者：

Adem, Abdullahi Rashid ^{[1
]}

Mirzazadeh, Mohammad ^{[2
]}

Zhou, Qin ^{[3
]}

Hosseini, Kamyar ^{[4
]}

机构：

[1] North West Univ, Dept Math Sci, Private Bag X 2046, ZA-2735 Mmabatho, South Africa

[2] Univ Guilan, East Guilan, Fac Technol & Engn, Dept Engn Sci, Rudsar 4489163157, Iran

[3] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Hubei, Peoples R China

[4] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2019年 / 2019卷

基金：

中国国家自然科学基金;

关键词：

BACKLUND TRANSFORMATION; CONSERVATION-LAWS; WAVE SOLUTIONS; ROGUE WAVES; LAX PAIR; ORDER;

D O I：

10.1155/2019/3175213

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV) equation. For this goal, a capable method known as the multiple exp-function scheme (MEFS) is formally utilized to derive the multiple soliton solutions of the models. The MEFS as a generalization of Hirota's perturbation method actually suggests a systematic technique to handle nonlinear evolution equations (NLEEs).

引用

页数：5

共 22 条

[1] Lie group analysis, analytic solutions and conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov-Burgers equation in a collisionless magnetized electron-positron-ion plasma [J].