Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method

被引：13

作者：

Yan, ZY ^{[1
]}

机构：

[1] Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 166卷 / 03期

关键词：

mKdV equation; the decomposition method; Jacobi elliptic function solution; error analysis;

D O I：

10.1016/j.amc.2004.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The scheme is developed to obtain approximate Jacobi elliptic function solutions of the modified KdV equation with initial conditions via the Adomian decomposition method. As consequence, we derive the approximate solution and exact Jacobi elliptic function solutions of the modified KdV equation with initial conditions. The approximate solution is compared with the exact solution. Moreover we analyze the absolute error and relative error, and give the contour and density plots of the approximate Jacobi elliptic function solutions with different modulus m = 0.25,0.5, 1. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：571 / 583

页数：13

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