EXACT SOLUTIONS FOR POWER-LAW REGULARIZED LONG-WAVE AND R(m, n) EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS

被引：15

作者：

Eslami, M. ^{[1
]}

Mirzazadeh, M. ^{[2
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

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

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 73卷 / 01期

关键词：

simplest equation method; solitons; regularized long-wave equation with time-dependent coefficients; SIMPLEST EQUATION; SOLITARY WAVES; PDES;

D O I：

10.1016/S0034-4877(14)60033-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this paper is to present solitary wave solution of two different forms of regularized long-wave equation with time-dependent coefficients that models shallow-water waves in fluid dynamics and some phenomena in elastic media, optic fibres and plasma physics. The simplest equation method is applied to solve the governing equations and then exact 1-soliton solutions are obtained. It is shown that this method provides us with a powerful mathematical tool for solving nonlinear evolution equations with time-dependent coefficients in mathematical physics.

引用

页码：77 / 90

页数：14

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