Travelling wave solutions for time-delayed nonlinear evolution equations

DOI10.1016/j.aml.2010.01.005zbMath1189.35281OpenAlexW2050367130MaRDI QIDQ968538

Rathinasamy Sakthivel, Hyun Soo Kim

Publication date: 5 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.01.005

zbMATH Keywords

solitary wave solutionstrigonometric function solutionshyperbolic function solutions\((\frac{G'}{G})\)-expansion methodhomogeneous balancetime-delayed equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24) Trigonometric solutions to PDEs (35C09)

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Cites Work

• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
• Sub-ODE method and solitary wave solutions for higher order nonlinear Schrödinger equation
• New exact travelling wave solutions of nonlinear physical models
• A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• The \((\frac{G'}{G})\)-expansion method for nonlinear differential-difference equations
• Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations
• Exact travelling wave solutions of some nonlinear evolutionary equations
• Extended \(F\)-expansion method and periodic wave solutions for the generalized Zakharov equations
• Exp-function method for nonlinear wave equations
• On the solutions of the time-delayed Burgers equation
• New solitary wave solutions of some nonlinear evolution equations with distinct physical structures
• Homotopy perturbation method for bifurcation of nonlinear problems
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
• Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction
• Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
• Solving a system of nonlinear fractional differential equations using Adomian decomposition
• Travelling wave solutions for some time-delayed equations through factorizations

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