Application of Exp-function method to Dullin–Gottwald–Holm equation |
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Authors: | Guang-Can Xiao Da-Quang Xian Xi-Qiang Liu |
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Affiliation: | aSchool of Science, Southwest University of Science and Technology, Mianyang 621010, PR China;bSchool of Mathematical Sciences, Liaocheng University, Liaocheng 252059, PR China |
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Abstract: | In this paper, 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. And explained some of the solutions physical meaning. |
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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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