An extended functional transformation method and its application in some evolution equations

doi:10.1088/1009-1963/14/9/001

中国物理B ›› 2005, Vol. 14 ›› Issue (9): 1687-1690.doi: 10.1088/1009-1963/14/9/001

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An extended functional transformation method and its application in some evolution equations

丁海勇¹, 徐西祥², 杨宏祥³

(1)College of Information Science and Engineering,Shandong Agricultural University, Taian 271018, China; (2)College of Science, Shandong University of Science and Technology, Qingdao 266150, China; (3)College of Science, Shandong University of Science and Technology, Qingdao 266150, China;Department of Computer Science, Taishan University, Taian 271021, China

收稿日期:2005-03-01 修回日期:2005-04-04 出版日期:2005-09-20 发布日期:2005-09-20

An extended functional transformation method and its application in some evolution equations

Ding Hai-Yong (丁海勇)^a, Xu Xi-Xiang (徐西祥)^b, Yang Hong-Xiang (杨宏祥)^bc

^a College of Information Science and Engineering,Shandong Agricultural University, Taian 271018, China; ^b College of Science, Shandong University of Science and Technology, Qingdao 266150, China; ^c Department of Computer Science, Taishan University, Taian 271021, China

Received:2005-03-01 Revised:2005-04-04 Online:2005-09-20 Published:2005-09-20

摘要/Abstract

摘要： In this paper, an extended functional transformation is given to solve some nonlinear evolution equations. This function, in fact,is a solution of the famous KdV equation, so this transformation gives a transformation between KdV equation and other soliton equations. Then many new exact solutions can be given by virtue of the solutions of KdV equation.

关键词: extended functional transformation, exact solution, KdV equation

Abstract: In this paper, an extended functional transformation is given to solve some nonlinear evolution equations. This function, in fact,is a solution of the famous KdV equation, so this transformation gives a transformation between KdV equation and other soliton equations. Then many new exact solutions can be given by virtue of the solutions of KdV equation.

Key words: extended functional transformation, exact solution, KdV equation

中图分类号: (Function theory, analysis)

02.30.-f

05.45.Yv (Solitons)

丁海勇, 徐西祥, 杨宏祥. An extended functional transformation method and its application in some evolution equations[J]. 中国物理B, 2005, 14(9): 1687-1690.

Ding Hai-Yong (丁海勇), Xu Xi-Xiang (徐西祥), Yang Hong-Xiang (杨宏祥). An extended functional transformation method and its application in some evolution equations[J]. Chinese Physics, 2005, 14(9): 1687-1690.

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An extended functional transformation method and its application in some evolution equations

An extended functional transformation method and its application in some evolution equations

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