Nonlinear realization of the conformal group in two dimensions and the Liouville equation

DOI10.1007/BF01017917zbMath0545.35088MaRDI QIDQ797063

S. O. Krivonos, Evgeny A. Ivanov

Publication date: 1984

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

zbMATH Keywords

integrable systemsBäcklund transformationsLiouville equationnonlinear realisationgroup-theoretic interpretationinfinite-parameter conformal group

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Unnamed Item
• U(1)-supersymmetric extension of the Liouville equation
• A sketch of Lie superalgebra theory
• General solutions of nonlinear equations in the geometric theory of the relativistic string
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Nonlinear-Evolution Equations of Physical Significance
• Prolongation structures of nonlinear evolution equations

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