Non-perturbative solution of the Klein-Gordon-Zakharov equation

DOI10.1016/0096-3003(95)00311-8zbMath0869.65063OpenAlexW2084185133MaRDI QIDQ1354258

G. Adomian

Publication date: 2 September 1997

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00311-8

zbMATH Keywords

decompositioninitial value problemAdomian methodKlein-Gordon-Zakharov equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (16)

An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations ⋮ Conservative difference methods for the Klein-Gordon-Zakharov equations ⋮ On the Exact Solutions of the Klein–Gordon–Zakharov Equations ⋮ On the numerical solution of the Klein‐Gordon equation ⋮ 1-soliton solution of the Klein-Gordon-Zakharov equation with power law nonlinearity ⋮ Energy stable schemes for the Klein-Gordon-Zakharov equations ⋮ Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation ⋮ A fourth order numerical scheme for the one-dimensional sine-Gordon equation ⋮ Exact solutions of the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations ⋮ Numerical solutions of coupled Klein-Gordon-Zakharov equations by quintic B-spline differential quadrature method ⋮ Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations ⋮ Soliton solutions of the Klein-Gordon-Zakharov equation with power law nonlinearity ⋮ Numerical simulation for solitary wave of Klein-Gordon-Zakharov equation based on the lattice Boltzmann model ⋮ A modified predictor-corrector scheme for the Klein–Gordon equation ⋮ New exact traveling wave solutions for the Klein-Gordon-Zakharov equations ⋮ The sine-Gordon equation in the finite line

Cites Work

• Solving frontier problems of physics: the decomposition method
• Global smooth solution for the Klein–Gordon–Zakharov equations

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