Separation method for solving the generalized Korteweg-de Vries equation

DOI10.1016/J.CNSNS.2003.09.003zbMath1073.35198OpenAlexW2017142455MaRDI QIDQ1886403

V. G. Foester, Abdelwahab Zerarka

Publication date: 18 November 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2003.09.003

zbMATH Keywords

solitonwave shapeAdomian's method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

On the functional variable method for finding exact solutions to a class of wave equations ⋮ Exact solutions for the KdV–mKdV equation with time-dependent coefficients using the modified functional variable method ⋮ Construction of exact solutions to a family of wave equations by the functional variable method

Cites Work

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• New numerical solution of the Korteweg-de Vries equation
• Stochastic water reservoir modeling
• New results for convergence of Adomian's method applied to integral equations
• Solving frontier problems of physics: the decomposition method
• The quintic spline for solving the Korteweg-de Vries equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A numerical and theoretical study of certain nonlinear wave phenomena
• Method for Solving the Korteweg-deVries Equation
• On the Toda Lattice. II: Inverse-Scattering Solution
• Integrals of nonlinear equations of evolution and solitary waves
• Shallow water waves on shear flows

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