Exact travelling wave solutions of nonlinear evolution equations by using the \((\frac{G'}{G})\)-expansion method

DOI10.1016/j.ajmsc.2011.08.002zbMath1234.35054OpenAlexW2327090259MaRDI QIDQ763046

Ahmet Bekir, Ferhat Uygun

Publication date: 8 March 2012

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2011.08.002

zbMATH Keywords

foam drainage equation\((\frac{G'}{G})\)-expansion method(2+1)-dimensional soliton breaking equation(3+1)-dimensional Kadomstev-Petviashvili equation

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Nonlinear higher-order PDEs (35G20) Traveling wave solutions (35C07)

Related Items (2)

Dynamics investigation and solitons formation for \((2+1)\) -dimensional zoomeron equation and foam drainage equation ⋮ Unexpected configurations for the optical solitons propagation in lossy fiber system with dispersion terms effect

Cites Work

• Unnamed Item
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Exact solutions for nonlinear evolution equations using Exp-function method
• 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
• Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method
• New exact non-traveling wave and coefficient function solutions of the \((2+1)\)-dimensional breaking soliton equations
• New doubly periodic and multiple soliton solutions of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvilli equation with variable coefficients
• Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method
• Exp-function based solution of nonlinear Radhakrishnan, Kundu and Laskshmanan (RKL) equation
• Extended improved tanh-function method for solving the nonlinear physical problems
• New solitary wave and periodic solutions of the foam drainage equation using the exp-function method
• A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
• A sine-cosine method for handling nonlinear wave equations
• Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
• New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
• The tanh method and Adomian decomposition method for solving the foam drainage equation
• Exact solutions of coupled nonlinear evolution equations
• The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
• New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method
• Hierarchies of Coupled Soliton Equations. I
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation

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