The variable separation  approach  and study  on  solving the variable-coefficient  nonlinear Schr?dinger equation

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Abstract
In this paper, a variable separation approach is proposed and successfully extended to the (1+1)dimensional physics models. The new exact solution of two classes of variable-coefficient nonlinear Schrdinger equations are obtained. As a specific example, the envelope soliton solution for nonlinear Schr?dinger equations are a by-product, which is somewhat different in form, from the present result.

Keywords:
variable separation approach /

variable-coefficient /

Schr?dinger equation /

envelope soliton solution
Authors and contacts
Zhang Jie-Fang¹,

Xu Chang-Zhi²,

He Bao-Gang²

(1)浙江师范大学非线性物理研究所,金华　321004; (2)浙江师范大学非线性物理研究所,金华　321004；金华教育学院物理系,金华　321000
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