参数激励非线性薛定谔方程的非传播孤立波和周期波解

Nonpropagating Solitary Waves and Periodic Waves forthe Parametrically Excited Nonlinear Schrdinger Equation

给出了由参数激励非线性薛定谔方程描述的参数激励体系中的用Jacobi椭圆函数表示的可能的周期波解的解析表达式.当椭圆函数的模趋向于1时,这些周期波解趋向于参数激励体系的非传播孤立波.

In this paper, th riodic waves of a parametr of the elliptic function app which had been found in e e analytic expressions in terms of Jacobi elliptic function for the possible peically excited nonlinear Schroedinger equation are given. When the modulus roaches to one, the periodic waves turn to nonpropagating solitary waves, xperiments.