Two-dimensional nonlinear equations of string type and their complete integration

DOI10.1007/BF01018899zbMath0547.35006MaRDI QIDQ798827

A. N. Leznov, Mikhail V. Saveliev

Publication date: 1983

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

zbMATH Keywords

graded Lie algebratwo-dimensional Toda latticeLax type representationtwo-dimensional nonlinear dynamical systems

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Dynamical systems and ergodic theory (37-XX)

Related Items

Nonlinear equations and graded Lie algebras ⋮ Solitons, \(\tau\)-functions and Hamiltonian reduction for non-abelian conformal affine Toda theories.

Cites Work

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• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Unified approach to strings and vortices with soliton solutions