Group-theoretical interpretation of the Korteweg-de Vries type equations

DOI10.1016/0167-2789(81)90118-4zbMath1194.35382OpenAlexW2090448359MaRDI QIDQ5901214

A. M. Perelomov

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cmp/1103907979

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• Gel'fand-Dikii Hamiltonian operator and the coadjoint representation of the Volterra group
• Nonlinear evolution equations that leave the spectrum of multidimensional Schrödinger equation invariant do not exist
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Some remarks about the associated envelope of a Lie algebra
• LOCAL LIE ALGEBRAS
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves
• La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente
• Group-theoretical interpretation of the Korteweg-de Vries type equations

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