Conservation laws and normal forms of evolution equations

DOI10.1016/j.physleta.2010.03.033zbMath1237.35142arXiv1003.1648OpenAlexW2082421628MaRDI QIDQ414996

Artur Sergyeyev, Roman O. Popovych

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1648

zbMATH Keywords

conservation lawsevolution equationslinear equationscosymmetriescontact transformationspoint transformations

Mathematics Subject Classification ID

Related Items (22)

Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation ⋮ Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation ⋮ Infinitely many nonlocal conservation laws for the \textit{ABC} equation with \(A+B+C\neq 0\) ⋮ A family of wave equations with some remarkable properties ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ The four-dimensional Martínez Alonso-Shabat equation: nonlinear self-adjointness and conservation laws ⋮ Conservation laws and symmetries of time-dependent generalized KdV equations ⋮ Linearizability for third order evolution equations ⋮ Nonlinear self-adjointness of a class of third order nonlinear dispersive equations ⋮ Nonlinear self-adjoint classification of a Burgers-KdV family of equations ⋮ Inverse problem on conservation laws ⋮ On symmetries and conservation laws of the Majda-Biello system ⋮ Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules ⋮ Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation ⋮ On the nonlinear self-adjointness of a class of fourth-order evolution equations ⋮ A look on some results about Camassa-Holm type equations ⋮ Symmetry properties for a generalised thin film equation ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation ⋮ Group classification of linear evolution equations ⋮ Group classification of nonlinear evolution equations: semi-simple groups of contact transformations ⋮ Nonlinear self-adjointness through differential substitutions ⋮ An equation unifying both Camassa-Holm and Novikov equations

Cites Work

• Integrability
• Admissible transformations and normalized classes of nonlinear Schrödinger equations
• Conserved densities for linear evolution systems
• Constants of motion for linear evolution systems
• Symmetry algebras of linear differential equations
• Conservation laws of evolution equations: Generic non-existence
• Classification of conservation laws for KdV-like equations
• Evolution equations with nontrivial conservative laws
• Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
• Conservation laws and potential symmetries of linear parabolic equations
• Hierarchy of conservation laws of diffusion-convection equations
• Local conservation laws of second-order evolution equations
• Conservation Laws and Non-Lie Symmetries for Linear PDEs
• Evolution equations with high order conservation laws
• Conserved densities for nonlinear evolution equations. I. Even order case
• Conserved densities for nonlinear evolution equations. II. Odd order case
• Conservation laws for multidimensional systems and related linear algebra problems
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Potential conservation laws
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Conservation laws and normal forms of evolution equations