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Analytic study on the higher order Itô equations: new solitary wave solutions using the Exp-function method. (English) Zbl 1198.35224

Summary: We use the Exp-function method to construct the generalized solitary wave solutions of the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equations. These equations play a very important role in mathematical physics and engineering sciences. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The results show the reliability and efficiency of the proposed method. Finally, some new solitonary wave solutions are obtained.

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:
35Q53KdV-like (Korteweg-de Vries) equations
35C08Soliton solutions of PDE