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Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation

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Abstract

The mathematical modelling of physical systems is generally expressed by nonlinear evolution equations. Therefore, it is critical to obtain solutions to these equations. We have employed the Hirota’s method to derive multiple soliton solutions to (2+1)-dimensional nonlinear evolution equation. Then we have studied the transformed rational function method to construct different types of analytical solutions to the nonlinear evolution equations. This algorithm provides a more convenient and systematical handling of the solution process of nonlinear evolution equations, unifying the homogeneous balance method, the mapping method, the tanh-function method, the F-expansion method and the exp-function method.

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Acknowledgements

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

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Authors and Affiliations

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

    Melike Kaplan

  2. Department of Mathematics-Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey

    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. Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation. Opt Quant Electron 50, 2 (2018). https://doi.org/10.1007/s11082-017-1270-6

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