The sine-Gordon, Klein-Gordon, and Korteweg-de Vries equations

DOI10.1016/0898-1221(91)90222-PzbMath0727.65115OpenAlexW2039020002MaRDI QIDQ803764

G. Adomian

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90222-p

zbMATH Keywords

convergencesine-Gordon equationdomain decomposition methodKorteweg-de Vries equationsKlein- Gordon equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (2)

The solution of nonlinear compartmental models ⋮ Analytical solutions to the pulsed Klein-Gordon equation using modified variational iteration method (MVIM) and Boubaker polynomials expansion scheme (BPES)

Cites Work

• A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
• Solving the nonlinear equations of physics
• Analytical study of a class of non-linear, stochastic, autonomous oscillators with one degree of freedom
• Nonlinear equations with mixed derivatives
• Nonlinear stochastic differential delay equations
• Unnamed Item
• Unnamed Item

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