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Pramana

, 91:28 | Cite as

Modified extended exp-function method for a system of nonlinear partial differential equations defined by seismic sea waves

  • Muhammad Shakeel
  • Syed Tauseef Mohyud-Din
  • Muhammad Asad Iqbal
Article
  • 37 Downloads

Abstract

Nonlinear partial differential equations are the main area of focus for researchers and scientists doing research in applied mathematics. Finding solutions of these nonlinear partial differential equations had gained considerable importance over the last few decades. In this work, an analytical technique named extended exp-function method is introduced for finding archetype exact solutions of innovative nonlinear coupled Konno–Oono equation. Different types of travelling wave solutions, i.e. complex hyperbolic function and complex trigonometric function solutions, with numerous capricious parameters are revealed. Subsequently, by using Maple 16, we plot 2D and 3D surfaces of analytical solutions obtained in this article. The depiction of the technique is straight, useful and can be applied to other nonlinear systems of partial differential equations.

Keywords

Coupled Konno–Oono equation extended exp-function method complex hyperbolic solution homogeneous balancing principle 

PACS Nos

02.70.Wz 05.45.Yv 03.65.Ge 

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Copyright information

© Indian Academy of Sciences 2018

Authors and Affiliations

  • Muhammad Shakeel
    • 1
  • Syed Tauseef Mohyud-Din
    • 2
  • Muhammad Asad Iqbal
    • 3
  1. 1.Department of MathematicsMohi-Ud-Din Islamic UniversityNerian SharifPakistan
  2. 2.Faculty of SciencesHITEC UniversityTaxilaPakistan
  3. 3.Department of Mathematics, Faculty of Basic and Applied SciencesThe University of PoonchRawalakotPakistan

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