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1-Soliton solution of KdV6 equation

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Abstract

This paper applies three forms of integration tools to integrate KdV6 equation that represents a nonholonomic deformation of the well-known KdV equation, which models shallow-water dynamics. The three integration algorithms applied are Kudryashov’s method, extended tanh scheme as well as \(G^{\prime }/G\)-expansion mechanism. These tools lead to solitary waves, shock waves as well as singular periodic solutions to the equation. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the problem.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

    Mohammad Mirzazadeh

  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mostafa Eslami

  3. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901-2277, USA

    Anjan Biswas

  4. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas

Authors
  1. Mohammad Mirzazadeh
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  2. Mostafa Eslami
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  3. Anjan Biswas
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Correspondence to Anjan Biswas.

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Mirzazadeh, M., Eslami, M. & Biswas, A. 1-Soliton solution of KdV6 equation. Nonlinear Dyn 80, 387–396 (2015). https://doi.org/10.1007/s11071-014-1876-1

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  • DOI: https://doi.org/10.1007/s11071-014-1876-1

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