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New exact solutions of some nonlinear evolution equations of pseudoparabolic type

Optical and Quantum Electronics volume 49, Article number: 241 (2017) Cite this article

Abstract

This paper aims to conduct an analytical study into some nonlinear models of pseudoparabolic type, including the Oskolkov, Oskolkov–Benjamin–Bona–Mahony–Burgers, and Benjamin–Bona–Mahony–Peregrine–Burgers equations. A number of new exact solutions for these pseudoparabolic type equations have been derived based on the modified Kudryashov method that its calculations are performed in a symbolic computation system known as Maple.

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Authors and Affiliations

  1. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    K. Hosseini

  2. Department of Electrical Engineering, Ahrar Institute of Technology and Higher Education, Rasht, Iran

    E. Yazdani Bejarbaneh

  3. Department of Mathematics and Computer, Art–Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey

    A. Bekir & M. Kaplan

Authors
  1. K. Hosseini
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  2. E. Yazdani Bejarbaneh
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  3. A. Bekir
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  4. M. Kaplan
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Corresponding author

Correspondence to A. Bekir.

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Hosseini, K., Yazdani Bejarbaneh, E., Bekir, A. et al. New exact solutions of some nonlinear evolution equations of pseudoparabolic type. Opt Quant Electron 49, 241 (2017). https://doi.org/10.1007/s11082-017-1070-z

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  • DOI: https://doi.org/10.1007/s11082-017-1070-z

Keywords

  • Pseudoparabolic type equations
  • Oskolkov equation
  • Oskolkov–Benjamin–Bona–Mahony–Burgers equation
  • Benjamin–Bona–Mahony–Peregrine–Burgers equation
  • Modified Kudryashov method
  • New exact solutions