一个(<em>3</em>+<em>1</em>)维孤子方程的周期解

物理学报

一个(3+1)维孤子方程的周期解

吴勇旗. 2010: 一个(3+1)维孤子方程的周期解, 物理学报, 59(1): 54-59.

引用本文:

吴勇旗. 2010: 一个(3+1)维孤子方程的周期解, 物理学报, 59(1): 54-59.

Wu Yong-Qi. 2010: The periodic wave solution for a (3 + 1)-dimensional soliton equation, Acta Physica Sinica, 59(1): 54-59.

Citation:

Wu Yong-Qi. 2010: The periodic wave solution for a (3 + 1)-dimensional soliton equation, Acta Physica Sinica, 59(1): 54-59.

一个(3+1)维孤子方程的周期解

摘要: 利用Hirota方法及Riemann theta函数得到了一个(3+1)维孤子方程的周期解.在极限情况下,该周期解退化为孤子解.另外,利用计算机技术和Mathematica绘制了解的三维曲面图.
- Hirota方法 /
- Riemanntheta函数 /
- (3+1)维孤子方程 /
- 周期解
Abstract: A new periodic wave solution for a (3 + 1)-dimensional soliton equation is found by using the Hirota method and Biemann theat function, from which the soliton solution can be obtained in an appropriate limiting procedure. In addition, the speciaJ three-dimensional surface graph of this equation is simulated with the help of Mathematica.