Solitary Wave Propagation of the Generalized Rosenau-Kawahara-RLW Equation in Shallow Water Theory with Surface Tension

• Type: Article in International Scientific Journal
• Date: 2023

Authors

AL saedi, AA (Author) Other; Nikan, O (Author) Other; Avazzadeh, Z (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Symmetry

Vol. 66

Final page: 1980

ISSN: 2073-8994

Publisher: MDPI

Indexing

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Other information

Authenticus ID: P-00Z-8TW

DOI: 10.3390/sym15111980

Abstract (EN): This paper addresses a numerical approach for computing the solitary wave solutions of the generalized Rosenau-Kawahara-RLW model established by coupling the generalized Rosenau-Kawahara and Rosenau-RLW equations. The solution of this model is accomplished by using the finite difference approach and the upwind local radial basis functions-finite difference. Firstly, the PDE is transformed into a nonlinear ODEs system by means of the radial kernels. Secondly, a high-order ODE solver is implemented for discretizing the system of nonlinear ODEs. The main advantage of this technique is its lack of need for linearization. The global collocation techniques impose a significant computational cost, which arises from calculating the dense system of algebraic equations. The proposed technique estimates differential operators on every stencil. As a result, it produces sparse differentiation matrices and reduces the computational burden. Numerical experiments indicate that the method is precise and efficient for long-time simulation.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17