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Application of exp-function method to Dullin-Gottwald-Holm equation. (English) Zbl 1173.35666
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:
 35Q53 KdV-like (Korteweg-de Vries) equations 35B10 Periodic solutions of PDE 35Q51 Soliton-like equations 35C05 Solutions of PDE in closed form 35A20 Analytic methods, singularities (PDE)
##### References:
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