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Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation

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Abstract

In the present work, according to the concept of extended homogeneous balance method and with help of Maple, we get auto-Bäcklund transformations for a (2 + 1)-dimensional nonlinear evolution equation. Subsequently, by using these auto-Bäcklund transformation, exact explicit solutions of this equation are obtained.

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Acknowledgements

This work is supported by Eskişehir Osmangazi University Scientific Research Committee (Project Code: 2016-1179).

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  1. Art-Science Faculty, Department of Mathematics, Kastamonu University, Kastamonu, Turkey

    Melike Kaplan & Mehmet Naci Ozer

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  1. Melike Kaplan
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  2. Mehmet Naci Ozer
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Correspondence to Melike Kaplan.

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Kaplan, M., Ozer, M.N. Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation. Opt Quant Electron 50, 33 (2018). https://doi.org/10.1007/s11082-017-1291-1

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