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Application of the ITEM for the modified dispersive water-wave system

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Abstract

The aim of this paper is to introduce a novel study of obtaining an analytical solutions to the modified dispersive water-wave system. An analytical technique based on the improved \(\tan (\phi /2)\)-expansion method (ITEM) is extended to handle such a system. Description of the method is given and the obtained results reveal that the ITEM is a new significant method for exploring nonlinear partial differential models. By using this method, exact solutions including the hyperbolic function solution, traveling wave solution, soliton solution, rational function solution, and periodic wave solution of this system of equations have been obtained. Moreover, by using Matlab, some graphical simulations were done to see the behavior of these solutions.

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Acknowledgements

This Paper is Published as Part of a Research Project Supported by the University of Tabriz Research Affairs Office.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran

    Mehrdad Lakestani

  2. Young Researchers and Elite Club, Ilkhchi Branch, Islamic Azad University, Ilkhchi, Iran

    Jalil Manafian

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  1. Mehrdad Lakestani
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  2. Jalil Manafian
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Correspondence to Jalil Manafian.

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Lakestani, M., Manafian, J. Application of the ITEM for the modified dispersive water-wave system. Opt Quant Electron 49, 128 (2017). https://doi.org/10.1007/s11082-017-0967-x

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