Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-08-28 DOI:10.1590/S1807-03022012000200001

Jonu Lee, R. Sakthivel

引用次数: 14

Abstract

In this paper, we implement the tanh-coth function method to construct the travelling wave solutions for (N + 1)-dimensional nonlinear evolution equations. Four models, namely the (N + 1)-dimensional generalized Boussinesq equation, (N + 1)-dimensional sine-cosine-Gordon equation, (N + 1)-double sinh-Gordon equation and (N + 1)-sinh-cosinh-Gordon equation, are used as vehicles to conduct the analysis. These equations play a very important role in mathematical physics and engineering sciences. The implemented algorithm is quite efficient and is practically well suited for these problems. The computer symbolic systems such as Maple and Mathematica allow us to perform complicated and tedious calculations. Mathematical subject classification: 35K58, 35C06, 35A25.

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若干非线性(N+1)维演化方程的行波精确解

本文采用tanh-coth函数法构造(N + 1)维非线性发展方程的行波解。以(N + 1)维广义Boussinesq方程、(N + 1)维正弦-余弦-戈登方程、(N + 1)-双sinh-Gordon方程和(N + 1)-sinh-余弦-戈登方程四个模型为载体进行分析。这些方程在数学物理和工程科学中起着非常重要的作用。所实现的算法非常有效，实际上很适合这些问题。计算机符号系统，如Maple和Mathematica，使我们能够进行复杂而乏味的计算。数学学科分类:35K58、35C06、35A25。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.