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

Turgut Ak, Sharanjeet Dhawan () and Bilge İnan ()
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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

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 11, 1-20

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.

Keywords: Generalized Rosenau–Kawahara-RLW equation; collocation; solitary waves; B-spline (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118501164

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