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Dergiler / Middle East Journal of Science / 2018 / Cilt: 4 - Sayı: 1

STABILITY ANALYSIS FOR THE KAWACHARA AND MODIFIED KAWACHARA EQUATIONS

MUSTAFA MIZRAK
Sayfa
15–22
Yayın Tarihi
2018-06-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The stability of these solutions and the movement role of the waves by sketching the graphs of the exact solutions are analyzed.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, by using the extended direct algebraic method, we obtain the exact traveling wave solutions for the Kawachara equation and the modified Kawachara equation.
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Temel Bulgular & Veri:The exact solutions of the Kawachara and modified Kawachara equations demonstrated by graphs.
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Sonuç & Katkı:The stability of these solutions and the movement role of the waves by sketching the graphs of the exact solutions are analyzed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Traveling wave solutions · Extended direct algebraic method · Kawachara equation

Abstract

In this paper, by using the extended direct algebraic method, we obtain the exact traveling wave solutions for the Kawachara equation and the modified Kawachara equation. The exact solutions of the Kawachara and modified Kawachara equations demonstrated by graphs. The stability of these solutions and the movement role of the waves by sketching the graphs of the exact solutions are analyzed.

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Bu Makaleye Atıf Yap

MIZRAK, M. (2018). STABILITY ANALYSIS FOR THE KAWACHARA AND MODIFIED KAWACHARA EQUATIONS. Middle East Journal of Science, Cilt: 4 - Sayı: 1, 15–22. https://ajindex.com/articles/691559

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Kaynakça (10)

  1. Gubernov, V. et al., Numerical methods for the travelling wave solutions in reaction-diffusion equations, ANZIAM J. 44 (E) (2003), pp.C271-C289
  2. Ndeffo Mbah, M.L., Travelling wave solutions for PDEs, African Institute for Mathematical Sciences, Cape Town South Africa June 7 (2005), pp. 1-34
  3. Fan, E., Hon Y.C., A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves, Chaos, Solitons and Fractals 15 (2003), pp. 559-566
  4. Helal, M.A., Soliton solutions of some nonlinear partial differential equations and its applications in fluids mechanics, Chaos, Solitons and Fractals 13 (2002), pp.1917-1929
  5. Seadawy, A. R., Lu, D., Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability, Results in Physics 7 (2017), pp. 43-48
  6. Seadawy, A. R. et al., Travelling wave solutions of the generalized nonlinear fifth-order KdV water wave equations and its stability, J. of Taibah University for Science 11(2017), pp. 623-633
  7. Seadawy, A. R., Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acustic waves in a plasma, Computers and Mathematics with Applications 67 (2014), pp. 172-180
  8. Arshad, M. et al., Travelling wave solutions of Drinfel’d-Sokolov-Wilson, Whitham-Broer-Kaup and (2+1)-dimensional Broer-Kaup-Kupershmit equations and their applications, Chinese Journal of Physics 55 (2017), pp. 780-797
  9. Kudryashov, N.A., On types of nonlinear nonintegrable equations with exact solutions, Physics Letters A 155 (1991), pp. 269-275
  10. Ertas, A., Mızrak, M., Explicit Travelling Wave Solutions of Two Nonlinear Evolution Equations, Mathematical Sciences Letters 3(3) (2014), pp. 223-228.