EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION

数学物理学报 ›› 1997, Vol. 17 ›› Issue (S1): 168-174.

EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION

马文秀¹, 周德常²

1. Institute of Mathematics, Fudan University, Shanghai 200433, China;
2. Department of Mathematics, Shandong University, Jinan, Shandong 250100, China

收稿日期:1992-12-23 出版日期:1997-12-26 发布日期:1997-12-26

EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION

Ma Wenxiu¹, Zhou Detang²

1. Institute of Mathematics, Fudan University, Shanghai 200433, China;
2. Department of Mathematics, Shandong University, Jinan, Shandong 250100, China

Received:1992-12-23 Online:1997-12-26 Published:1997-12-26

摘要/Abstract

摘要： This paper carefully analyses the possibility of that a generalized KdV equation possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These complex solutions constitute real exact solutions to the system of complex form of the above generalized KdV equation.

关键词: Generalized KdV equation, travelling wave solution, series method

Abstract: This paper carefully analyses the possibility of that a generalized KdV equation possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These complex solutions constitute real exact solutions to the system of complex form of the above generalized KdV equation.

Key words: Generalized KdV equation, travelling wave solution, series method

马文秀, 周德常. EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION[J]. 数学物理学报, 1997, 17(S1): 168-174.

Ma Wenxiu, Zhou Detang. EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION[J]. Acta mathematica scientia,Series A, 1997, 17(S1): 168-174.

EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION

EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION

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