Solitary-wave solutions of the Degasperis–Procesi equation by means of the homotopy analysis method

DOI10.1080/00207160802626492zbMath1202.65125OpenAlexW2020078816MaRDI QIDQ3056366

Saeid Abbasbandy, E. John Parkes

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802626492

zbMATH Keywords

numerical examplesseries solutionsolitary-wave solutionhomotopy analysis methodDegasperis-Procesi equationsolitary peakonsolitary smooth-hump waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems ⋮ Solitary-wave solutions of the Degasperis–Procesi equation by means of the homotopy analysis method

Cites Work

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• Newton-homotopy analysis method for nonlinear equations
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• Homotopy solutions for a generalized second-grade fluid past a porous plate
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• Traveling wave solutions of the Camassa-Holm equation
• On nonlinear flows with slip boundary condition
• Solitary-wave solutions of the Degasperis–Procesi equation by means of the homotopy analysis method
• Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
• Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method
• Beyond Perturbation

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