Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 30, Issue 1-2, Pages 89-103Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-008-0159-8
Keywords
The (G'/G)-expansion method; Traveling wave solutions; The Painleve integrable Burgers equations; The Nizhnik-Novikov-Vesselov equations; The Boiti-Leon-Pempinelli equations; The dispersive long wave equations
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In the present paper, we construct the traveling wave solutions involving parameters for some nonlinear evolution equations in the mathematical physics via the (2 + 1)-dimensional Painleve integrable Burgers equations, the (2 + 1)dimensional Nizhnik-Novikov-Vesselov equations, the (2 + 1)-dimensional BoitiLeon-Pempinelli equations and the (2 + 1)-dimensional dispersive long wave equations by using a new approach, namely the (G'/G)-expansion method, where G = G(xi) satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the traveling waves. The traveling wave solutions are expressed by hyperbolic, trigonometric and rational functions.
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