Approximate analytic solution for the KdV and Burger equations with the homotopy analysis method

DOI10.1155/2012/878349zbMath1267.35201OpenAlexW2039842545WikidataQ58907535 ScholiaQ58907535MaRDI QIDQ1952972

Mojtaba Nazari, Zainal Abdul Aziz, Faisal Salah, Merbakhsh Nilashi

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/878349

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Soliton solutions (35C08)

Cites Work

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• Exact flow of a third grade fluid past a porous plate using homotopy analysis method
• A new approximate proximal point algorithm for maximal monotone operator
• Solution of the MHD Falkner-Skan flow by homotopy analysis method
• A new application of the homotopy analysis method: solving the Sturm-Liouville problems
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• Series solutions for a nonlinear model of combined convective and radiative cooling of a spherical body
• Solving the nonlinear periodic wave problems with the homotopy analysis method
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• Rotating flow of a third grade fluid by homotopy analysis method
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Homotopy analysis method for quadratic Riccati differential equation
• Homotopy solutions for a generalized second-grade fluid past a porous plate
• Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
• On nonlinear flows with slip boundary condition
• Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
• On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
• Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems