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Zbl 1173.35666
Xiao, Guang-Can; Xian, Da-Quang; Liu, Xi-Qiang
Application of exp-function method to Dullin-Gottwald-Holm equation. (English)
[J] Appl. Math. Comput. 210, No. 2, 536-541 (2009). ISSN 0096-3003

Summary: We adopt the Exp-function method and the traveling-wave transformation to study the so-called DGH equation, as a result a number of exact solutions of this equation have been found. The family of solution including some exact solutions such as solitary wave pattern, periodic traveling-wave solution, kink-wave solution and new bounded-wave solutions. We explain a physical meaning of some solutions.

MSC 2000:: *35Q53 KdV-like equations
35B10 Periodic solutions of PDE
35Q51 Solitons
35C05 Solutions of PDE in closed form
35A20 Analytic methods (PDE)

Keywords: Dullin-Gottwald-Holm equation; exp-function method; bi-periodic traveling-wave solution; kink-wave; solitary wave solution; bounded-wave solutions

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