Deformations preserving Huygens’ principle

DOI10.1063/1.530841zbMath0809.35099OpenAlexW1994437723MaRDI QIDQ4318013

Yuri Yu. Berest

Publication date: 29 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530841

zbMATH Keywords

master symmetriesDarboux transformationsKorteweg-de Vries hierarchyevolution flows for Hadamard coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) KdV equations (Korteweg-de Vries equations) (35Q53) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Huygens' principle, Dirac operators, and rational solutions of the AKNS hierarchy

Cites Work

• Differential equations in the spectral parameter
• On a class of polynomials connected with the Korteweg-de Vries equation
• Monodromy- and spectrum-preserving deformations. I
• Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV
• Hadamard's problem and Coxeter groups: New examples of Huygens' equations
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• The sine-Gordon equations: Complete and partial integrability
• The Painlevé property for partial differential equations
• Integrals of nonlinear equations of evolution and solitary waves