余弦函数法求解BBM和MRLW方程的孤子

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI:10.5923/J.AM.20110102.09

R. Arora, Anoop Kumar

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引用次数: 17

摘要

本文利用余弦函数算法得到了非线性偏微分方程的行波解。本文将该方法应用于两种不同类型的非线性偏微分方程的精确解，即Benjamin-Bona-Mahony (BBM)方程和修正正则长波(MRLW)方程，它们是重要的孤子方程。

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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Soliton Solution for the BBM and MRLW Equations by Cosine-function Method

In this paper, we obtained a traveling wave solution by using cosine-function algorithm for nonlinear partial differential equations. Here, the method is used to obtain the exact solutions for two different types of nonlinear partial dif- ferential equations such as, Benjamin-Bona-Mahony (BBM) equation and Modified Regularized Long Wave (MRLW) equation which are the important soliton equations.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.