欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
利用Weierstrass椭圆函数展开法对非线性光学、等离子体物理等许多系统中出现的立方非线性Schr（o）dinger方程进行了研究.首先通过行波变换将方程化为一个常微分方程,再利用Weierstrass椭圆函数展开法思想将其化为一组超定代数方程组,通过解超定方程组,求得了含Weierstrass椭圆函数的周期解,以及对应的Jacobi椭圆函数解和极限情况下退化的孤波解.该方法有以下两个特点：一是可以借助数学软件Mathematica自动地完成;二是可以用于求解其它的非线性演化方程（方程组）.
英文摘要：
The cubic nonlinear Schroedinger（CNLS）equation, which＇exist widely in some systems such as plasma physics, nonlinear optics etc, has been studied by using the Weierstrass elliptic function expansion method. With the aid of travelling wave transformation, the CNLS equation can be reduced to an ordinary differential equation. Then, the main step of this algorithm changes the problem solving an ordinary differential equation into another one solving the corresponding set of nonlinear algebraic equations. As a conclusion, some new doubly periodic wave solutions are obtained in terms of the Weierstrass elliptic function. Meariwhile, the corresponding Jacobi elliptic function solutions and the solitary wave solutions are derived in the limit case. The method has two virtues： one is the process can be performed in computerized symbolic computation system such as Mathematica. Another is the method can be also applied to many nonlinear differential equation（equations） in mathematical physics.
同期刊论文项目
同项目期刊论文
Nonlinear Ramsey interferometry with the Rosen-Zener pulses on a two-component Bose-Einstein condens
Ion-acoustic solitary waves and their interaction in a weakly relativistic two-dimensional thermal p
Effects of dust size distribution on dust acoustic waves in magnetized two-ion-temperature dusty pla
The effect of dust size distribution for the dust acoustic waves in a cold dusty plasma with nonther
Influences of the dust size and the dust charge variations to the low frequency wave modes in a dust
Head-on collision of ion-acoustic solitary waves in a weakly relativistic electron–positron–ion plas
Rosen-Zener transition in a nonlinear system for two component Bose-Einstein condensate in optical l
New modified Jacobi Elliptic function expansion method and its application to (2+1) dimensional KP e
Effects of dust size distribution on dust acoustic waves in two dimensional unmagnetized dusty plasm
Interactions between two solitons with an arbitrary collision direction in two-dimensional Bose-Eins
期刊信息
位置：