An algorithm to construct evolution equations with a given set of conserved densities

DOI10.1063/1.524188zbMath0425.35052OpenAlexW1991149604MaRDI QIDQ3860235

A. Galindo

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524188

zbMATH Keywords

evolution equationsconstructive algorithmconserved densities

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

Related Items (2)

Inverse problem on conservation laws ⋮ The equivalence problem for the heat equation

Cites Work

• Kernels and ranges in the variational formalism
• A generalized variational algebra and conserved densities for linear evolution equations
• Conserved densities for nonlinear evolution equations. I. Even order case
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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