耦合Schrödinger-Boussinesq方程组的显式精确解

Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (1): 11-15.

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New Jacobi Elliptic Functions Solutions of the Schrödinger-Boussinesq Equations

ZHOU Jian-jun^1,2, HONG Bao-jian^1,2, LU Dian-chen¹

1.Faculty of Science,Jiangsu University,Zhenjiang Jiangsu 212013,China;
2.Department of Basic Courses,Nanjing Institute of Technology,Nanjing Jiangsu 211167,China

Received:2012-06-10 Online:2013-03-20 Published:2018-11-26

Abstract

Abstract: Generalized Schrödinger-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 Schrödinger-Boussinesq equations are obtained.Some of which weredegenerated to the solitary wave solutions and the single triangle function solutions extreme cases.Thus this method can replenish,simplify and develop the known results.

Key words: Schrodinger-Boussinesq equations, extended Jacobi elliptic functions expansion method, Jacobi elliptic functions solutions, exact solution

CLC Number:

O175.29

ZHOU Jian-jun, HONG Bao-jian, LU Dian-chen. New Jacobi Elliptic Functions Solutions of the Schrödinger-Boussinesq Equations[J].Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(1): 11-15.

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