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

被引：9

作者：

Ak, Turgut ^{[1
]}

Dhawan, Sharanjeet ^{[2
]}

Inan, Bilge ^{[3
]}

机构：

[1] Yalova Univ, Armutlu Vocat Sch, TR-77500 Armutlu, Yalova, Turkey

[2] Cent Univ Haryana, Dept Math, Mahendragarh 123029, Haryana, India

[3] Kilis 7 Aralik Univ, Dept Math & Sci Educ, TR-79000 Kilis, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2018年 / 29卷 / 11期

关键词：

Generalized Rosenau-Kawahara-RLW equation; collocation; solitary waves; B-spline; WAVE SOLUTIONS;

D O I：

10.1142/S0129183118501164

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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 effciency of the proposed numerical scheme. Solutions so produced may be helpful for explaining various nonlinear physical phenomena in nonlinear dynamical systems.

引用

页数：20

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