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Numerical solutions of the generalized Rosenau–Kawahara-RLW equation arising in fluid mechanics via B-spline collocation method

Author

Listed:
  • Turgut Ak

    (Armutlu Vocational School, Yalova University, Armutlu, 77500 Yalova, Turkey)

  • Sharanjeet Dhawan

    (Department of Mathematics, Central University of Haryana, 123029 Haryana, India)

  • Bilge İnan

    (Department of Mathematics and Science Education, Kilis 7 Aralık University, 79000 Kilis, Turkey)

Abstract

Present study reports the solution of generalized Rosenau–Kawahara-RLW equation. It includes motion of single solitary wave, interaction of two solitary waves along with the calculated invariants and error norms. Gaussian and undular bore initial conditions are studied to show evolution of solitons. Developed train of solitons and conservation of invariants are shown via figures and tables in the respective sections. Various case studies are presented to demonstrate the efficiency of the proposed numerical scheme. Solutions so produced may be helpful for explaining various nonlinear physical phenomena in nonlinear dynamical systems.

Suggested Citation

  • Turgut Ak & Sharanjeet Dhawan & Bilge İnan, 2018. "Numerical solutions of the generalized Rosenau–Kawahara-RLW equation arising in fluid mechanics via B-spline collocation method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(11), pages 1-20, November.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:11:n:s0129183118501164
    DOI: 10.1142/S0129183118501164
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