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Zbl 1011.35035
Sirendaoreji; Jiong, Sun
Auxiliary equation method for solving nonlinear partial differential equations. (English)
[J] Phys. Lett., A 309, No.5-6, 387-396 (2003). ISSN 0375-9601

Summary: By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several kinds of 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.
MSC 2000:
*35C05 Solutions of PDE in closed form
35L70 Second order nonlinear hyperbolic equations

Keywords: direct algebraic method; exact travelling wave solutions; symbolic computation

Cited in: Zbl 1199.35232

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