耦合Schrdinger-Boussinesq方程组的显式精确解  

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

作　　者：周建军[1,2] 洪宝剑[1,2] 卢殿臣[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]南京工程学院基础部,江苏南京211167

出　　处：《广西师范大学学报（自然科学版）》2013年第1期11-15,共5页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61070231);南京工程学院重点科研基金资助项目(KXJA2010011)

摘　　要：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.

关 键 词：耦合Schrodinger-Boussinesq方程组 推广的Jacobi椭圆函数展开法 JACOBI椭圆函数解 精确解 

分 类 号：O175.29[理学—数学]