AUXILIARY EQUATION METHOD AND ITS APPLICATIONS TO NONLINEAR EVOLUTION EQUATIONS

Sirendaoreji () and Sun Jiong
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Sirendaoreji: Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, Inner Mongolia, China
Sun Jiong: Department of Mathematics, Inner Mongolia University, Huhhot 010021, Inner Mongolia, China

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 08, 1075-1085

Abstract: By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.

Keywords: Auxiliary equation; travelling wave solution; symbolic computation (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183103005200

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