Hirota-Satsuma方程的N-孤子解

数学季刊 ›› 2012, Vol. 27 ›› Issue (2): 270-273.

Hirota-Satsuma方程的N-孤子解

1. Department of Mathematics and Information Science, Zhoukou Normal University 2. Department of Mathematics, Shanghai University

收稿日期:2010-10-11 出版日期:2012-06-30 发布日期:2023-03-29
作者简介:WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.
基金资助:
Supported by the Natural Science Foundation of China(61072147,11071159)； Supported by the Shanghai Leading Academic Discipline Project(J50101)； Supported by the Youth Foundation of Zhoukou Normal University(zknuqn200917)

N-soliton Solution for Hirota-Satsuma Equation

1. Department of Mathematics and Information Science, Zhoukou Normal University 2. Department of Mathematics, Shanghai University

Received:2010-10-11 Online:2012-06-30 Published:2023-03-29
About author:WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.
Supported by:
Supported by the Natural Science Foundation of China(61072147,11071159)； Supported by the Shanghai Leading Academic Discipline Project(J50101)； Supported by the Youth Foundation of Zhoukou Normal University(zknuqn200917)

摘要/Abstract

摘要： In this work, using the Hirota bilinear method, N-soliton solution is obtained for Hirota-Satsuma nonlinear evolution equation: u_t- u_xxt-3u_xu_t+u_x= 0.

关键词: Hirota-Satsuma equation, Hirota bilinear method, N-soliton solution

Abstract: In this work, using the Hirota bilinear method, N-soliton solution is obtained for Hirota-Satsuma nonlinear evolution equation: u_t- u_xxt-3u_xu_t+u_x= 0.

Key words: Hirota-Satsuma equation, Hirota bilinear method, N-soliton solution

中图分类号:

O241.8

魏含玉, 童艳春, 夏铁成. Hirota-Satsuma方程的N-孤子解[J]. 数学季刊, 2012, 27(2): 270-273.

WEI Han-yu, TONG Yan-chun, XIA Tie-cheng. N-soliton Solution for Hirota-Satsuma Equation[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 270-273.