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

✍ Scribed by Jie-Fang Zhang; Chao-Qing Dai; Qin Yang; Jia-Min Zhu

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
713 KB
Volume
252
Category
Article
ISSN
0030-4018

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✦ Synopsis

In this paper, using the variable-coefficient F-expansion method, we present a number of Jacobian elliptic function solutions of nonlinear Schro ¨dinger 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.

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