Title: <i>N</i>-soliton solutions for the Vakhnenko equation and its generalized forms
Abstract: In this paper, we present an analytic study for the nonlinear Vakhnenko equation, a generalized Vakhnenko equation and a modified generalized Vakhnenko equation. The simplified form of the bilinear method, established by Hereman and Nuseir (1997 Math. Comput. Simul. 43 13–27), will be used to formally derive multiple soliton solutions and multiple singular soliton solutions for each equation. The resonance phenomenon is examined for each model.
Publication Year: 2010
Publication Date: 2010-11-10
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 46
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