Application of the novel \((G'/G)\)-expansion method to the regularized long wave equation

DOI10.1515/wwfaa-2015-0006zbMath1431.37053OpenAlexW2336756895MaRDI QIDQ1714846

Md. Nur Alam, Fethi Bin Muhammad Belgacem

Publication date: 1 February 2019

Published in: Waves, Wavelets and Fractals. Advanced Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/wwfaa-2015-0006

zbMATH Keywords

travelling wave solutionsgeneralized regularized long wave equationhomogeneous balanceauxiliary nonlinear ordinary differential equationnovel \((G'/G)\)-expansion method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items

SOLITARY WAVES OF THE FRACTAL REGULARIZED LONG-WAVE EQUATION TRAVELING ALONG AN UNSMOOTH BOUNDARY ⋮ Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized \((G'/G)\)-expansion method
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Application of \((\frac{G'}{G})\)-expansion method to regularized long wave (RLW) equation
• 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
• A generalized \((\frac{G'}{G})\)-expansion method and its applications
• Exp-function method for nonlinear wave equations
• The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
• Application of exp-function method to high-dimensional nonlinear evolution equation
• Exact solutions of nonlinear PDE, nonlinear transformation and reduction of nonlinear PDE to a quadrature
• Connections between the convective diffusion equation and the forced Burgers equation
• Applications of the novel (\(G' / G\))-expansion method for a time fractional simplified modified Camassa-Holm (MCH) equation
• On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
• Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations
• A generalized and improved \((G'/G)\)-expansion method for nonlinear evolution equations
• Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics
• Solitary wave solutions for variant Boussinesq equations
• New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
• Extended tanh-function method and its applications to nonlinear equations
• New traveling wave solutions for higher dimensional nonlinear evolution equations using a generalized \big(\frac{G^{\prime}}{G}\big) -expansion method
• The Painlevé property for partial differential equations
• On travelling wave solutions of some nonlinear evolution equations
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
• An improved (G′/G)-expansion method for solving nonlinear evolution equations
• A new method of exact travelling wave solution for coupled nonlinear differential equations