Hyperbolic, trigonometric, and rational function solutions of Hirota-Ramani equation via \((G'/G)\)-expansion method

DOI10.1155/2011/424801zbMath1235.35065OpenAlexW2090673375WikidataQ58693037 ScholiaQ58693037MaRDI QIDQ410382

Rasoul Abazari, Reza Abazari

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/424801

Mathematics Subject Classification ID

Traveling wave solutions (35C07) Systems of nonlinear higher-order PDEs (35G50)

Related Items (6)

New traveling wave solutions by the extended generalized Riccati equation mapping method of the \((2 + 1)\)-dimensional evolution equation ⋮ Lie symmetries and conservation laws of the Hirota-Ramani equation ⋮ A modified form of \(\left(\frac{G^\prime}{G}\right)\)-expansion method and its application to potential Kadomtsev-Petviashvili (PKP) equation ⋮ Solitary wave solutions of three special types of Boussinesq equations ⋮ On the exact solitary wave solutions of a special class of Benjamin-Bona-Mahony equation ⋮ The improved \((G'/G)\)-expansion method for the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation

Cites Work

• Application of (\(\frac{G'}{G}\))-expansion method to travelling wave solutions of three nonlinear evolution equation
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations
• The \((\frac{G'}G)\)-expansion method for Tzitzéica type nonlinear evolution equations
• Application of \((\frac{G'}{G})\)-expansion method to regularized long wave (RLW) equation
• A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations
• Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
• Periodic wave solutions to a coupled KdV equations with variable coefficients
• Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach
• Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
• The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
• A note on the homogeneous balance method
• A new expansion and new families of exact traveling solutions to Hirota equation
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Mixed rational soliton solutions of two differential-difference equations in Casorati determinant form

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