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Analytic approximations for the one-loop soliton solution of the Vakhnenko equation. (English) Zbl 1198.35218

Summary: We give an analytic solution for the one-loop soliton solution of the Vakhnenko equation, by the use of the homotopy analysis method and via a fractional basis.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
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