Vanishing residue characterization of the sine-Gordon hierarchy

DOI10.1007/BF02432915zbMath1060.37060OpenAlexW1989863430MaRDI QIDQ1880448

François Treves

Publication date: 28 September 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02432915

zbMATH Keywords

differential algebraSine-Gordon hierarchyvanishing residue

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

• An algebraic characterization of the Korteweg-de Vries hierarchy
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• The two-singular-manifold method: I. Modified Korteweg-de Vries and sine-Gordon equations
• Integrals of nonlinear equations of evolution and solitary waves
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