(2+1)维Boussinesq和(3+1)维Kadomtsev-Petviashvili方程的周期波解
Periodic wave solutions for (2+1)-dimensional Boussinesq equation and (3+1)-dimensional Kadomtsev-Petviashvili equation
由于高阶非线性发展方程可以描述现实生活中各种复杂的物理现象,所以它们在物理和工程领域备受关注,本文利用Hirota双线性方法和Riemann theta函数分别求得了(2+1)维Boussinesq和(3+1)维Kadomtsev-Petviashvili方程的周期波解.并进一步指出上述所求周期波解可以退化为相应的孤子解.
For describing various complex nonlinear phenomena in the realistic world, the higher-dimensional nonlinear evolution equations appear more attractive in many fields of physical and engineer sciences. In this paper, by virtue of the Hirota bilinear method and Riemann theta functions, the periodic wave solutions for the (2+1)-dimensional Boussinesq equation and (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation are obtained. Furthermore, it is shown that the known soliton solutions for the two equations can be reduced from the periodic wave solutions.
张欢、蔡科杰、张海强、田播、耿涛、刘文军、孟祥花
数学物理学
周期波解2+1)维Boussinesq方程(3+1)维Kadomtsev-Petviashvili方程Hirota双线性方法Riemann theta函数
Periodic wave solutions(2+1)-dimensional Boussinesq equation(3+1)-dimensional KP equationHirota bilinear methodRiemann theta functions
张欢,蔡科杰,张海强,田播,耿涛,刘文军,孟祥花.(2+1)维Boussinesq和(3+1)维Kadomtsev-Petviashvili方程的周期波解[EB/OL].(2008-01-15)[2025-07-22].http://www.paper.edu.cn/releasepaper/content/200801-472.点此复制
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