Infinities of polynomial conserved densities for nonlinear evolution equations

DOI10.1063/1.524391zbMath0451.35059OpenAlexW2093692353MaRDI QIDQ3897396

Mark J. McGuinness

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524391

zbMATH Keywords

evolution equationnonlinear equationsKorteweg-de Vries equationsine-Gordon equationnonlinear Schrödinger equationsNoether's theoreminfinitesimal transformationLagrangian field theoryconserved densitiesnonlinear integrodifferential operatorclassical nonlinear shallow-water equations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

An infinity of polynomial conserved densities for a class of nonlinear evolution equations

Cites Work

• The conserved densities of the Korteweg–De Vries equation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
• The Korteweg–deVries Equation: A Survey of Results
• Evolution equations possessing infinitely many symmetries
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• 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
• Some Properties of Long Nonlinear Waves

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