Pohlmeyer's transformation and the \((2+0)\) integrable equations of statistical physics

DOI10.1007/BF02675731zbMath0970.37055MaRDI QIDQ1580596

E. Sh. Gutshabash

Publication date: 24 September 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

gauge equivalencenonlinear sigma-modelGetmanov and Bitsadze modelstwo-dimensional elliptic integrable systems

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) Exactly solvable models; Bethe ansatz (82B23)

Cites Work

• Unnamed Item
• Topological defects in incommensurate magnetic and crystal structures and quasi-periodic solutions of the elliptic sine-Gordon equation
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. II
• An O(3,1) nonlinear sigma -model and the Ablowitz-Ladik hierarchy

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