Dynamical symmetries and conservation laws for Korteweg-de Vries equation

DOI10.1016/0034-4877(84)90031-4zbMath0592.35109OpenAlexW1974515169MaRDI QIDQ1075530

Erik Taflin

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90031-4

zbMATH Keywords

moment problemconstant of motionrepresentations of Lie groupsKdV type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Analytic linearization of the Korteweg-de Vries equation
• Abstract non linear wave equations
• Non-linear equations and covariance
• Perturbation theory for linear operators.
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• The conserved densities of the Korteweg–De Vries equation
• Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations
• Non linear representations of Lie groups
• Method for Solving the Korteweg-deVries Equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
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