The first integral method to some complex nonlinear partial differential equations

DOI10.1016/j.cam.2011.02.021zbMath1219.35257OpenAlexW2028262801MaRDI QIDQ555187

Nasir Taghizadeh, Mohammad Mirzazadeh

Publication date: 22 July 2011

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.2011.02.021

zbMATH Keywords

first integral methodcoupled Higgs field equationnew Hamiltonian amplitude equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (16)

Solitary wave solutions of few nonlinear evolution equations ⋮ New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation ⋮ Solitary and periodic wave solutions of Calogero-Bogoyavlenskii-Schiff equation via exp-function methods ⋮ Exact traveling wave solutions of the space-time fractional complex Ginzburg-Landau equation and the space-time fractional Phi-4 equation using reliable methods ⋮ Topological and non-topological soliton solutions of Hamiltonian amplitude equation by He's semi-inverse method and ansatz approach ⋮ Dark soliton and periodic wave solutions of nonlinear evolution equations ⋮ The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation ⋮ The unified method for conformable time fractional Schrödinger equation with perturbation terms ⋮ Exact solutions of damped improved Boussinesq equations by extended \((G'/G)\)-expansion method ⋮ CLOSED FORM SOLUTIONS FOR NONLINEAR BIOLOGICAL POPULATION MODEL ⋮ Closed form solutions of two nonlinear equation via the enhanced (G^′/G)-expansion method ⋮ Unnamed Item ⋮ Closed form solutions for coupled nonlinear Maccari system ⋮ Shock wave solution of the variable coefficient nonlinear partial differential equations ⋮ Exact solutions of nonlinear wave equations using \((G^\prime/G, 1/G)\)-expansion method ⋮ Feng's first integral method for analytic treatment of two higher dimensional nonlinear partial differential equations

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