Analytical solutions for nonlinear long-short wave interaction systems with highly complex structure

DOI10.1016/j.cam.2016.05.035zbMath1353.35098OpenAlexW2435517186MaRDI QIDQ329785

Fethi Bin Muhammad Belgacem, Haci Mehmet Baskonus, Hasan Bulut

Publication date: 21 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.05.035

zbMATH Keywords

complex hyperbolic solutiondark soliton solutionhyperbolic function solutionmodified \(\exp (-\Omega(\xi))\)-expansion method

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Traveling wave solutions (35C07) Systems of nonlinear higher-order PDEs (35G50)

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Cites Work

• Unnamed Item
• Travelling wave solutions to some important equations of mathematical physics
• Vanishing viscosity with short wave-long wave interactions for multi-D scalar conservation laws
• The \(\exp(-\Phi(\xi))\)-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation
• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• A General Theory for Interactions Between Short and Long Waves
• The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion

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