Integrability properties of a generalized reduction of the KdV6 equation

DOI10.1016/J.AMC.2011.08.007zbMath1244.35124OpenAlexW2061215531MaRDI QIDQ425499

Andrew Pickering, Pilar Ruiz Gordoa, Julia Prada

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.007

zbMATH Keywords

Bäcklund transformationsPainlevé test

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Auto-Bäcklund transformations for a differential-delay equation ⋮ On an extended second Painlevé hierarchy ⋮ \(N\)-soliton and quasi-periodic solutions of the KdV6 equations

Cites Work

• Unnamed Item
• Bäcklund transformations for a matrix second Painlevé equation
• New exact solutions for a generalization of the Korteweg-de Vries equation (KdV6)
• The bi-Hamiltonian structure and new solutions of KdV6 equation
• Coalescence limits for higher order Painlevé equations
• The first and second Painlevé equations of higher order and some relations between them
• A note on ``The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton solutions
• Integration via modification: a method of reduction of order for systems of ordinary differential equations
• The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)
• Bäcklund transformations for a discrete second Painlevé hierarchy
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Nonisospectral scattering problems: A key to integrable hierarchies
• A new integrable generalization of the Korteweg–de Vries equation

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