An analytical approach to the sine-Gordon equation using the modified homotopy perturbation method

DOI10.1016/j.camwa.2009.03.071zbMath1189.35182OpenAlexW2062907273MaRDI QIDQ979749

Jun-Feng Lu

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.071

zbMATH Keywords

analytical solutionapproximate solutionsine-Gordon equationmodified homotopy perturbation method

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Second-order semilinear hyperbolic equations (35L71)

Related Items

APPROXIMATE SOLUTION OF FORNBERG–WHITHAM EQUATION BY MODIFIED HOMOTOPY PERTURBATION METHOD UNDER NON-SINGULAR FRACTIONAL DERIVATIVE ⋮ A new iterative method for the approximate solution of Klein-Gordon and sine-Gordon equations ⋮ Analysis of the new homotopy perturbation method for linear and nonlinear problems ⋮ A new approach for one-dimensional sine-Gordon equation ⋮ INVESTIGATION OF FRACTIONAL ORDER SINE-GORDON EQUATION USING LAPLACE ADOMIAN DECOMPOSITION METHOD ⋮ A RIGID PENDULUM IN A MICROGRAVITY: SOME SPECIAL PROPERTIES AND A TWO-SCALE FRACTAL MODEL

Cites Work

• Unnamed Item
• Unnamed Item
• Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations
• An application of the modified Adomian decomposition method for (\(N + 1\))-dimensional sine-Gordon field
• Analytical approach to Kawahara equation using variational iteration method and homotopy perturbation method
• Exact solutions to sine-Gordon-type equations
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• A family of parametric finite-difference methods for the solution of the sine-Gordon equation
• Exact solutions for some nonlinear partial differential equations
• A numerical solution of the sine-Gordon equation using the modified decomposition method
• A direct method for solving sine-Gordon type equations
• Solution of the Dirichlet boundary value problem for the sine-Gordon equation
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• An approximate solution technique not depending on small parameters: A special example
• On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds
• Discrete singular convolution for the sine-Gordon equation
• Homotopy perturbation technique
• An ultradiscretization of the sine-Gordon equation
• A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations
• Bifurcations of travelling wave solutions for a general sine-Gordon equation
• A model unified field equation
• Perturbation methods and non-linear hyperbolic waves
• NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATION
• A predictor--corrector scheme for the sine-Gordon equation
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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