SL(n + 1)-invariant equations which reduce to equations of Korteweg-de Vries type

DOI10.1017/S0308210500020710zbMath0724.35095OpenAlexW2127972956MaRDI QIDQ5758596

Ian McIntosh

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500020710

zbMATH Keywords

Miura transformationLax equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Invariant differential equations and the Adler–Gel’fand–Dikii bracket ⋮ Antiplectic structure, diffeomorphism and generalized KdV family ⋮ The theory of differential invariants and KDV hamiltonian evolutions ⋮ Diffeomorphisms on S¹, projective structures and integrable systems

Cites Work

• Unnamed Item
• Lie algebras and equations of Korteweg-de Vries type
• Loop groups and equations of KdV type
• Modifying Lax equations and the second Hamiltonian structure
• Theta functions and non-linear equations
• Infinite-dimensional Lie groups and algebraic geometry in soliton theory
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• On the quasi-Hamiltonian formalism of the KdV equation

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