Lax forms and the Euler top equations: A new approach

DOI10.1016/j.aop.2011.12.008zbMath1243.81070OpenAlexW2073896103MaRDI QIDQ413172

Levent Kurt

Publication date: 4 May 2012

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2011.12.008

zbMATH Keywords

Schrödinger equationJacobi elliptic functionsLax formmatrix mechanicsHeisenberg's equationthe Euler top

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Motion of the gyroscope (70E05)

Cites Work

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• CLASSICAL MECHANICS OF DIPOLAR ASYMMETRIC TOP MOLECULES IN COLLINEAR STATIC ELECTRIC AND NONRESONANT LINEARLY POLARIZED LASER FIELDS: ENERGY-MOMENTUM DIAGRAMS, BIFURCATIONS AND ACCESSIBLE CONFIGURATION SPACE
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
• The Short Pulse Equation Is Integrable
• Integrals of nonlinear equations of evolution and solitary waves
• On the transition of a sphere from the superconducting to the normal state

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