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

DOI10.1063/1.524392zbMath0451.35060OpenAlexW2077444482MaRDI QIDQ3897397

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/10.1063/1.524392

zbMATH Keywords

inverse scattering transformevolution equationnonlinear equationsKorteweg-de Vries equationsine-Gordon equationnonlinear Schrödinger equationsNoether's theoreminfinitesimal transformationLagrangian field theoryconserved densitiesnonlinear integrodifferential operator

Mathematics Subject Classification ID

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

Related Items (2)

Torus knots and polynomial invariants for a class of soliton equations ⋮ Boundary conditions for infinite conservation laws

Cites Work

• The conserved densities of the Korteweg–De Vries equation
• Infinities of polynomial conserved densities for nonlinear evolution equations
• Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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