Scaling symmetry reductions of coupled KdV systems

DOI10.1088/1751-8121/ad8405MaRDI QIDQ6633649

Allan P. Fordy

Publication date: 6 November 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemPoisson matrixstationary flowbi-Hamiltoniancoupled KdVPainlevé reduction

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems and ergodic theory (37-XX)

Cites Work

• Title not available (Why is that?)
• Factorization and Poisson correspondences
• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
• Stationary flows: Hamiltonian structures and canonical transformations
• Coupled KdV equations with multi-Hamiltonian structures
• The Hénon-Heiles system revisited
• The relationship between Hamiltonian formalisms of stationary and nonstationary problems
• A bi-Hamiltonian theory for stationary KdV flows and their separability
• Integrable quartic potentials and coupled KdV equations
• Non-autonomous Hénon-Heiles systems
• Coupled Painlevé systems and quartic potentials
• Stationary flows revisited
• Stationary coupled KdV hierarchies and related Poisson structures
• Stäckel representations of stationary KdV systems
• Stationary coupled KdV systems and their Stäckel representations

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