Conserved densities for nonlinear evolution equations. I. Even order case

DOI10.1063/1.524186zbMath0424.35059OpenAlexW2069773659MaRDI QIDQ3858673

A. Galindo, L. Abellanas

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524186

zbMATH Keywords

nonlinear evolution equationcriteria for nonexistenceeven order casenontrivial polynomial conserved densities

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65)

Related Items (11)

A recursion formula for the construction of local conservation laws of differential equations ⋮ Some relations between symmetries of nonlocally related systems ⋮ Weak nonlocalities in evolution equations ⋮ Polynomial integrals of evolution equations ⋮ Non-existence of S-integrable three-point partial difference equations in the lattice plane ⋮ Conservation laws and normal forms of evolution equations ⋮ Conserved densities for linear evolution systems ⋮ Hierarchy of conservation laws of diffusion-convection equations ⋮ An algorithm to construct evolution equations with a given set of conserved densities ⋮ Classification of evolution equations by conservation laws ⋮ On the structure of exceptional evolution polynomials

Cites Work

• Group theoretical nature of conservation theorems
• A generalized variational algebra and conserved densities for linear evolution equations
• 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
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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