Traveling Wave Solutions for Some Nonlinear Differential Equations by a Generalized Sub-ODE Method ——Traveling Wave Solutions for Some Differential Equations

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Mathematical Computation is an international comprehensive professional academic journal of Ivy Publisher, concerning the development of mathematical theory and computing application on the combination of mathematical theory and modern industrial technology. The main focus of the journal is the academic papers and comments of latest theoretical and apolitical mathematics improvement in the fields of nature science, engineering technology, economy... [More] Mathematical Computation is an international comprehensive professional academic journal of Ivy Publisher, concerning the development of mathematical theory and computing application on the combination of mathematical theory and modern industrial technology. The main focus of the journal is the academic papers and comments of latest theoretical and apolitical mathematics improvement in the fields of nature science, engineering technology, economy and science, report of latest research result, aiming at providing a good communication platform to transfer, share and discuss the theoretical and technical development of mathematics theory development for professionals, scholars and researchers in this field, reflecting the academic front level, promote academic change and foster the rapid expansion of mathematics theory and application technology.

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Traveling Wave Solutions for Some Nonlinear Differential Equations by a Generalized Sub-ODE Method ——Traveling Wave Solutions for Some Differential Equations

Full Text(PDF, 179KB)

Author: Bin Zheng

Abstract: In this paper, some exact traveling wave solutions of (2+1) dimensional PKP equation and the fifth-order SK equation are established by a generalized sub-ODE method. The method appears to be efficient in seeking exact solutions of nonlinear equations.

Keywords: Bernoulli sub-ODE method, Traveling wave solutions, Exact solution; (2+1) dimensional PKP equation, Fifth-order SK equation

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