Variable-coefficient F-expansion method and its application to nonlinear Schrodinger equation

被引：92
|
作者：
Zhang, JF [1 ]
Dai, CQ
Yang, Q
Zhu, HM
机构：
[1] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Peoples R China
[2] Zhejiang Lishui Univ, Dept Phys, Lishui 323000, Peoples R China
来源：
OPTICS COMMUNICATIONS | 2005年 / 252卷 / 4-6期
关键词：
variable-coefficient F-expansion method; nonlinear Schrodinger equations; Jacobian elliptic function solutions; solitonic solutions; trigonometric function solutions;
D O I：
10.1016/j.optcom.2005.04.043
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, using the variable-coefficient F-expansion method, we present a number of Jacobian elliptic function solutions of nonlinear Schrodinger equations with variable-coefficient. Particular cases of these solutions, where the elliptic function modulus equals 1 and 0, are various localized solutions and trigonometric function solutions, respectively. Each of these solutions exists for a certain relation between the parameters of the equation. Therefore, they are particular cases of the complete set of periodic and localized solutions which may exist for this equation. In fact, they can serve as a seeding set of solutions which could be useful in other optical studies. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：408 / 421
页数：14
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