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直接法求两个非线性发展方程的周期解

direct approach to construct periodic wave solutions

中文摘要英文摘要

通过计算机符号计算和利用直接法、黎曼函数,我们直接构造出HS方程、BLMP方程的周期解。并给出图形,而且在一定极限条件下,这些周期解可以退化成常见的孤子解形式。

With symbolic computation, the Hirota method and Riemann theta function are employed to directly construct the periodic wave solutions for Hirota-Satsuma equa- tion for shallow water waves and Boiti-Leon-Manna-Pempinelli equation. Then, the corresponding 痝ures of the periodic wave solutions are given. Furthermore, it is shown that the known soliton solutions can be reduced from the periodic wave solutions.

蔡科杰、孟祥花、张欢、田播

数学物理学

周期解hirota方法黎曼函数HS方程BLMP方程

Periodic wave solutionsHirota-Satsuma equation for shallow water waves

蔡科杰,孟祥花,张欢,田播.直接法求两个非线性发展方程的周期解[EB/OL].(2008-01-25)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200801-760.点此复制

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