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CONSTRUCTING FAMILIES OF EXACT SOLUTIONS TO A (2+1)-DIMENSIONAL CUBIC NONLINEAR SCHRÖDINGER EQUATION

BIAO LI

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, P. R. China

Corresponding author.

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HONGQING ZHANG

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, P. R. China

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https://doi.org/10.1142/S0129183104006169Cited by:7 (Source: Crossref)

Abstract

The projective Riccati equations method is extended to find some novel exact solutions of a (2+1)-dimensional cubic nonlinear Schrödinger (NLS) equation. Applying the extended method and symbolic computation, six families of exact analytical solutions for this NLS equation are reported, which include some new and more general exact soliton-like solutions, trigonometric function forms solutions and rational forms solutions.

Keywords:

PACS: 05.45.Yv, 02.30.Jr, 42.65.Tg

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