Exact Traveling Wave Solutions of the Krichever–Novikov Equation: A Dynamical System Approach

DOI10.1142/S0218127417500584zbMath1366.35013MaRDI QIDQ5275067

Kit-Ian Kou, Ji-Bin Li

Publication date: 10 July 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Krichever-Novikov equationintegrable systemsolitary wave solutionperiodic wave solutionquasi-periodic wave solutions

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Cites Work

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• Nonlinear self-adjointness of the Krichever-Novikov equation
• Symmetries of the continuous and discrete Krichever-Novikov equation
• Lax pair for the Adler (lattice Krichever-Novikov) system
• Evolution equations with nontrivial conservative laws
• On nonlocal symmetries for the Krichever-Novikov equation
• Symmetry reductions and traveling wave solutions for the Krichever-Novikov equation
• Symmetries and conservation laws of the generalized Krichever–Novikov equation
• Bäcklund transformation for the Krichever-Novikov equation
• Prolongation structure of the Krichever Novikov equation
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• Multipotentialisations and Iterating-Solution Formulae: The Krichever–Novikov Equation
• Algebraic-geometric solutions of the Krichever-Novikov equation

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