Exact solutions for the generalized Klein-Gordon equation via a transformation and exp-function method and comparison with Adomian's method
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Publication:953389
DOI10.1016/j.cam.2008.01.010zbMath1155.65079OpenAlexW2043147904MaRDI QIDQ953389
Publication date: 20 November 2008
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.01.010
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (19)
New approach for exact solutions of time fractional Cahn-Allen equation and time fractional phi-4 equation ⋮ Exact solutions of non-linear Klein-Gordon equation with non-constant coefficients through the trial equation method ⋮ Exact solutions of non-linear lattice equations by an improved exp-function method ⋮ Topological and non-topological solitons of the Klein-Gordon equations in \(1+2\) dimensions ⋮ New exact solutions of nonlinear conformable time-fractional Phi-4 equation ⋮ A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method ⋮ New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity ⋮ Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method ⋮ An improvement on the exp-function method when balancing the highest order linear and nonlinear terms ⋮ A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation ⋮ Treatment for third-order nonlinear differential equations based on the Adomian decomposition method ⋮ Unnamed Item ⋮ Exact solutions for the transformed reduced Ostrovsky equation via the \(F\)-expansion method in terms of Weierstrass-elliptic and Jacobian-elliptic functions ⋮ Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation ⋮ APPLICATION OF EXP-FUNCTION METHOD TO REDUCED OSTROVSKY EQUATION AND KURAMOTO-SIVASHINSKY EQUATION ⋮ Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations ⋮ Approximate damped oscillatory solutions and error estimates for the perturbed Klein-Gordon equation ⋮ Topological and non-topological solitons of the generalized Klein-Gordon equations ⋮ Modified Camassa-Holm and Degasperis-Procesi equations solved by Adomian's decomposition method and comparison with HPM and exact solutions
Uses Software
Cites Work
- Unnamed Item
- Generalized extended tanh-function method and its application
- Extended Jacobi elliptic function expansion method and its applications
- New applications of developed Jacobi elliptic function expansion methods
- Exp-function method for nonlinear wave equations
- Exact Jacobian elliptic function solutions and hyperbolic function solutions for Sawada-Kotere equation with variable coefficient
- A reliable modification of Adomian decomposition method
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
- The extended \(F\)-expansion method and exact solutions of nonlinear PDEs
- On an improved complex tanh-function method
- Solving the \((2+1)\)-dimensional higher order Broer-Kaup system via a transformation and tanh-function method
- A numerical solution of the Klein-Gordon equation and convergence of the decomposition method
- A decomposition method for solving the nonlinear Klein-Gordon equation
- The improved F-expansion method and its applications
- The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
- Auxiliary equation method and new solutions of Klein-Gordon equations
- New exact travelling wave solutions for some nonlinear evolution equations
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Convergence of Adomian's Method
- The modified decomposition method applied to unsteady flow of gas through a porous medium
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
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