Exact analytical solutions to the nonlinear Schrödinger equation model

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Exact analytical solutions to the nonlinear Schrödinger equation model

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 2005 international symposium on Symbolic and algebraic computation table of contents

Beijing, China

Pages: 224 - 230

Year of Publication: 2005

ISBN:1-59593-095-7

Authors

Biao Li	Ningbo University, Ningbo, China, Chinese Academy of Sciences, Beijing, China
Yong Chen	Ningbo University, Ningbo, China, Chinese Academy of Sciences, Beijing, China
Qi Wang	Dalian University of Technology, Dalian, China, Chinese Academy of Sciences, Beijing, China

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ACM: Association for Computing Machinery
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

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ACM New York, NY, USA

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ABSTRACT

A method is developed for constructing a series of exact analytical solutions of the nonlinear Schrödinger equation model (NLSE) with varying dispersion, nonlinearity, and gain or absorption. With the help of symbolic computation, a broad class of analytical solutions of NLSE are obtained. From our results, many previous known results of NLSE obtained by some authors can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. Further, the formation, interaction and stability of solitons have been investigated.

REFERENCES

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