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An efficient algorithm for computation of solitary wave solutions to nonlinear differential equations

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Abstract

Nonlinear mathematical problems and their solutions attain much attention in solitary waves. In soliton theory, an efficient tool to attain various types of soliton solutions is the \(\exp (-\varphi (\zeta ))\)-expansion technique. This article is devoted to find exact travelling wave solutions of Drinfeld–Sokolov equation via a reliable mathematical technique. By using the proposed technique, we attain soliton wave solution of various types. It is observed that the technique under discussion is user friendly with minimum computational work, and can be extended for physical problems of different nature in mathematical physics.

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Authors and Affiliations

  1. Department of Mathematics, Riphah International University, Islamabad, Pakistan

    Kamran Ayub & M Yaqub Khan

  2. Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt., Pakistan

    Qazi Mahmood-Ul-Hassan

  3. Department of Mathematics, University of Gujrat, Gujrat, Pakistan

    Jamshad Ahmad

Authors
  1. Kamran Ayub
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  2. M Yaqub Khan
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  3. Qazi Mahmood-Ul-Hassan
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  4. Jamshad Ahmad
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Corresponding author

Correspondence to Qazi Mahmood-Ul-Hassan.

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Ayub, K., Khan, M.Y., Mahmood-Ul-Hassan, Q. et al. An efficient algorithm for computation of solitary wave solutions to nonlinear differential equations. Pramana - J Phys 89, 45 (2017). https://doi.org/10.1007/s12043-017-1447-3

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  • DOI: https://doi.org/10.1007/s12043-017-1447-3

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