一类m-KP方程的谱表示及其拟周期解

数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 38-42.

一类m-KP方程的谱表示及其拟周期解

Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China;Department of Mathematics,Zhanjiang Normal University,Zhanjiang 524048,China

收稿日期:2005-12-26 出版日期:2007-03-30 发布日期:2023-11-10
作者简介:WU Yong-qi(1965-),male,native of Zhumadian,Henan,a lecturer of Zhanjiang Normal Uni- versity,engages in Soliton and integrable systen.
基金资助:
Supported by the Special Funds for Major State Basic Research Projects(G2000077301)； Supported by the doctoral foundation of Zhanjiang Normal University(ZL0601)；

The Spectral Representation of a Class of m-KP Equation and Its Quasi-periodic Solution

Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China;Department of Mathematics,Zhanjiang Normal University,Zhanjiang 524048,China

Received:2005-12-26 Online:2007-03-30 Published:2023-11-10
About author:WU Yong-qi(1965-),male,native of Zhumadian,Henan,a lecturer of Zhanjiang Normal Uni- versity,engages in Soliton and integrable systen.
Supported by:
Supported by the Special Funds for Major State Basic Research Projects(G2000077301)； Supported by the doctoral foundation of Zhanjiang Normal University(ZL0601)；

摘要/Abstract

摘要： This paper gives the spectral representation of a class of (2+1)-dimensional mod- ified Kadomtsev-Petviashvili(m-KP) equation with a constant parameter.Its quasi-periodic solution is obtained in terms of Riemann theta functions.

关键词:

m-KP , equation, Riemann-theta , function, quasi-periodic , solution ,

Abstract: This paper gives the spectral representation of a class of (2+1)-dimensional mod- ified Kadomtsev-Petviashvili(m-KP) equation with a constant parameter.Its quasi-periodic solution is obtained in terms of Riemann theta functions.

Key words:

m-KP , equation, Riemann-theta , function, quasi-periodic , solution ,

中图分类号:

O175.29

吴勇旗. 一类m-KP方程的谱表示及其拟周期解[J]. 数学季刊, 2007, 22(1): 38-42.

WU Yong-qi. The Spectral Representation of a Class of m-KP Equation and Its Quasi-periodic Solution[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 38-42.

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