Dynamics of shallow water waves with Gardner-Kadomtsev-Petviashvili equation

DOI10.3934/dcdss.2015.8.1155zbMath1334.76096OpenAlexW2526341212MaRDI QIDQ258582

Anjan Biswas, Anwar Ja'afar Mohamad Jawad, Mohammad Mirzazadeh

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.1155

zbMATH Keywords

traveling waves\(G^{'}/G\)-expansionGardner-KP equationtanh-coth method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solutions to PDEs in closed form (35C05)

Related Items (2)

Conservation laws and exact solutions of a generalized Kadomtsev–Petviashvili (KP)‐like equation ⋮ Optimal subalgebra of GKP by using Killing form, conservation law and some more solutions

Cites Work

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• A study of shallow water waves with Gardner's equation
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• Topological 1-soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity
• Exact soliton solutions of the modified KdV-KP equation and the Burgers-KP equation by using the first integral method
• Adiabatic parameter dynamics of perturbed solitary waves
• 1-soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity
• Travelling wave solutions of the Cahn-Allen equation by using first integral method
• Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations
• Solitons and singular solitons for the Gardner-KP equation
• Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method
• An improved (G′/G)-expansion method for solving nonlinear evolution equations

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