A generalized \((\frac {G^\prime}{G})\)-expansion method and its application to the (2 + 1)-dimensional Broer-Kaup equations

DOI10.1016/j.amc.2008.12.068zbMath1165.35457OpenAlexW2039677202MaRDI QIDQ1008606

Jing-Lin Tong, Wei Wang, Sheng Zhang

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.068

zbMATH Keywords

rational solutionsnonlinear evolution equationstrigonometric function solutionshyperbolic function solutionsnon-travelling wave solutionsgeneralized \((\frac {G^\prime}{G})\)-expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) Solutions to PDEs in closed form (35C05)

Related Items (22)

New exact traveling wave solutions of some nonlinear higher-dimensional physical models ⋮ A new general algebraic method and its applications to the (2+1)-dimensional Broer-Kaup-Kupershmidt equations ⋮ A note on the \(G'/G\)-expansion method ⋮ Modulational instability of longitudinal nonlinear wave along single wall carbon nanotubes under the effect of higher order inter-atomic interaction potential ⋮ Exact traveling wave solutions of nonlinear variable-coefficients evolution equations with forced terms using the generalized \((G'/G)\)-expansion method ⋮ The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations ⋮ Analytic investigation of the \((2+1)\)-dimensional Schwarzian Korteweg-de Vries equation for traveling wave solutions ⋮ Analytic solutions for generalized forms of the nonlinear heat conduction equation ⋮ The modified \(\frac {G \prime}{G}\)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation ⋮ Hyperbolic and trigonometric solutions for some nonlinear evolution equations ⋮ A modified form of \(\left(\frac{G^\prime}{G}\right)\)-expansion method and its application to potential Kadomtsev-Petviashvili (PKP) equation ⋮ Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative ⋮ New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method ⋮ The \((\frac{G'}{G})\)-expansion method for some nonlinear evolution equations ⋮ New application of \((G'/G)\)-expansion method to a nonlinear evolution equation ⋮ Application of the \(G^{\prime}/G\)-expansion method to Kawahara type equations using symbolic computation ⋮ The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method ⋮ Exact traveling wave solutions to the fourth-order dispersive nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method ⋮ On the validity and reliability of the (\(G^{\prime}/G\))-expansion method by using higher-order nonlinear equations ⋮ Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method

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