耦合Schrdinger-Boussinesq方程组的显式精确解

New Jacobi Elliptic Functions Solutions of the Schrdinger-BoussinesqEquations

耦合Schrdinger-Boussinesq方程组广泛应用于激光物理、等离子体物理等领域的一些具体物理过程,如Langmuir场的振幅、电磁波强度以及调幅的不稳定性等,本文通过推广的Jacobi椭圆函数展开法,借助Mathematica软件,求出了耦合Schrdinger-Boussinesq方程组一系列新的Jaocobi椭圆函数复合形式的精确解,部分解在极限情况下退化为孤立波解和三角函数解,丰富、简化和发展了已有的结果。

Generalized Schrodinger-Boussinesq equations are widely used in the physical fields to describe various physical processes in Laser and plasma,such as Langmuir field amplitude and intense electromagnetic waves and modulational instabilities,etc. In this paper,by using the extended Jacobi elliptic founctions expansion methods,and with the aid of mathematical software,a series of new compound Jacobi formal exact solutions of the Schrodinger-Boussinesq equations are obtained. Some of which were degenerated to the solitary wave solutions and the single triangle function solutions extreme cases. Thus this method can replenish,simplify and develop the known results.