Travelling peakon and solitary wave solutions of modified Fornberg-Whitham equations with nonhomogeneous boundary conditions

DOI10.1515/ijnsns-2021-0047OpenAlexW3217064881MaRDI QIDQ6106129

İhsan Çelikkaya

Publication date: 27 June 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0047

zbMATH Keywords

solitary wavesFornberg-Whitham equationmodified Fornberg-Whitham equationpeakon wavesquintic trigonometric B-spline bases

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Cites Work

• New approach for the Fornberg-Whitham type equations
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• An analytical approach to the fornberg-whitham type equations by using the variational iteration method
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• A type of bounded traveling wave solutions for the Fornberg-Whitham equation
• The homotopy analysis method for solving the fornberg-whitham equation and comparison with Adomian's decomposition method
• Travelling wave solutions of the Fornberg-Whitham equation
• Kink-like wave and compacton-like wave solutions for a two-component Fornberg-Whitham equation
• Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation
• Single peak solitary wave solutions for the Fornberg–Whitham equation
• NUMERICAL SOLUTIONS FOR THE NONLINEAR FORNBERG–WHITHAM EQUATION BY HE'S METHODS
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• A numerical and theoretical study of certain nonlinear wave phenomena
• Variational methods and applications to water waves
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