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Pramana

, 93:10 | Cite as

Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves

  • Aly R Seadawy
  • Dianchen LuEmail author
  • Mujahid Iqbal
Article

Abstract

We investigated the new exact travelling wave solutions of the system of equations for the ion sound and Langmuir waves (SEISLWs). In this work, we use the extended form of two methods, auxiliary equation mapping and direct algebraic methods, to find the families of new exact travelling wave solutions of the SEISLWs. These new exact travelling solutions are derived in the form of trigonometric functions, hyperbolic functions, periodic solitary waves, bright and dark solitons, kink solutions of the SEISLWs. We used the Mathematica program to show these solutions in two and three dimensions graphically.

Keywords

System of equations for the ion sound and Langmuir waves mathematical methods new exact travelling wave solutions 

PACS Nos

02.30.Jr 47.10.A- 52.25.Xz 52.35.Fp 

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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Mathematics Department, Faculty of ScienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia
  2. 2.Mathematics Department, Faculty of ScienceBeni-Suef UniversityBeni-SuefEgypt
  3. 3.Faculty of ScienceJiangsu UniversityZhenjiangPeople’s Republic of China

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