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

Biao Li () and Hongqing Zhang
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Biao Li: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China;
Hongqing Zhang: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China;

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 05, 741-751

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: Symbolic computation; projective Riccati equations method; (2+1)-dimensional cubic NLS equation; exact solution; soliton solution; 05.45.Yv; 02.30.Jr; 42.65.Tg (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006169

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