2007•Journal of Nantong UniversityRequires access

New Explicit and Exact Traveling Wave Solutions of the NLS Nonlinear Equations

Changhai Zhao

Abstract

Hyperbola function method is proposed for constructing exact traveling wave solutions for nonlinear evolution equations.In this paper,many traveling wave solutions to NLS equations were obtained by using hyperbola function method and Wu-elimination method,which include new traveling wave solutions and rational traveling wave solutions.The method used here can also be applied to other nonlinear equations.

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Available abstract

Key concepts: Hyperbola, Traveling wave, Nonlinear system, Mathematics, Mathematical analysis, Function (biology), Rational function, Applied mathematics