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Soliton solutions of Davey–Stewartson equation by trial equation method and ansatz approach

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Abstract

In this paper, we establish exact soliton solutions for the Davey–Stewartson equation. The trial equation method and the ansatz approach are used to construct exact 1-soliton solutions of this equation. We apply the trial equation method to establish solitary waves soliton, dark soliton and singular solitary waves soliton solutions. The Davey–Stewartson equation is the well-known example of integrable equations in two space dimensions, which arise as higher-dimensional generalizations of the nonlinear Schrödinger equation.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, East of Guilan, University of Guilan, 44891-63157, Rudsar-Vajargah, Iran

    M. Mirzazadeh

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  1. M. Mirzazadeh
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Mirzazadeh, M. Soliton solutions of Davey–Stewartson equation by trial equation method and ansatz approach. Nonlinear Dyn 82, 1775–1780 (2015). https://doi.org/10.1007/s11071-015-2276-x

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  • DOI: https://doi.org/10.1007/s11071-015-2276-x

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