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Exact solutions of the Drinfel’d–Sokolov–Wilson equation using Bäcklund transformation of Riccati equation and trial function approach

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Abstract

In this paper, two integration schemes are employed to obtain solitons, singular periodic waves and other types of solutions of the Drinfel’d–Sokolov–Wilson equation. The two schemes studied in this paper are the Bäcklund transformation of Riccati equation and the trial function approach. The corresponding constraint conditions of the solutions are also given.

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Authors and Affiliations

  1. Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt

    A H ARNOUS

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

    M MIRZAZADEH

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

    M ESLAMI

Authors
  1. A H ARNOUS
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  2. M MIRZAZADEH
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  3. M ESLAMI
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Correspondence to A H ARNOUS.

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ARNOUS, A.H., MIRZAZADEH, M. & ESLAMI, M. Exact solutions of the Drinfel’d–Sokolov–Wilson equation using Bäcklund transformation of Riccati equation and trial function approach. Pramana - J Phys 86, 1153–1160 (2016). https://doi.org/10.1007/s12043-015-1179-1

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  • DOI: https://doi.org/10.1007/s12043-015-1179-1

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