Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method | |
Yan, ZY![]() | |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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2005-07-26 | |
卷号 | 166期号:3页码:571-583 |
关键词 | mKdV equation the decomposition method Jacobi elliptic function solution error analysis |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2004.07.004 |
英文摘要 | 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. |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000230359200007 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1192] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Yan, ZY |
作者单位 | Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Yan, ZY. Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,166(3):571-583. |
APA | Yan, ZY.(2005).Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method.APPLIED MATHEMATICS AND COMPUTATION,166(3),571-583. |
MLA | Yan, ZY."Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method".APPLIED MATHEMATICS AND COMPUTATION 166.3(2005):571-583. |
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