Qualitative analysis and explicit traveling wave solutions for the Davey–Stewartson equation

DOI10.1002/mma.2798zbMath1284.35113OpenAlexW2130182549MaRDI QIDQ5406978

Ming Song, Zheng-Rong Liu

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2798

zbMATH Keywords

traveling wave solutionsbifurcation methodDavey--Stewartson equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Solitary waves for incompressible inviscid fluids (76B25) Traveling wave solutions (35C07)

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Cites Work

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• Application of the bifurcation method to the Whitham-Broer-Kaup-like equations
• New explicit solutions for (2+1)-dimensional soliton equation
• Resonant Interactions of Y-Periodic Soliton with Line Soliton and Algebraic Soliton: Solutions to the Davey-Stewartson I Equation
• Quasi-line soliton interactions of the Davey–Stewartson I equation: on the existence of long-range interaction between two quasi-line solitons through a periodic soliton
• EXPLICIT PERIODIC WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR GENERALIZED CAMASSA–HOLM EQUATION
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• Periodic Soliton Resonance: Solutions to the Davey-Stewartson I Equation
• On three-dimensional packets of surface waves
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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