Symmetry reductions and traveling wave solutions for the Krichever-Novikov equation

DOI10.1002/MMA.1578zbMath1244.35120OpenAlexW2044029167MaRDI QIDQ2894251

Maria Luz Gandarias, Maria de los Santos Bruzon Gallego

Publication date: 29 June 2012

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

Full work available at URL: https://doi.org/10.1002/mma.1578

zbMATH Keywords

nonlineartraveling wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (3)

Symmetry Reductions and Exact Solutions of a Generalized Fisher Equation ⋮ Conservation Laws of a Family of Reaction-Diffusion-Convection Equations ⋮ Exact Traveling Wave Solutions of the Krichever–Novikov Equation: A Dynamical System Approach

Cites Work

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• Lax pair for the Adler (lattice Krichever-Novikov) system
• Evolution equations with nontrivial conservative laws
• HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
• Bäcklund transformation for the Krichever-Novikov equation
• Prolongation structure of the Krichever Novikov equation
• Multipotentialisations and Iterating-Solution Formulae: The Krichever–Novikov Equation

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