Symmetries and conservation laws for some compacton equation
type: Item
instance of: scholarly article
title: Symmetries and conservation laws for some compacton equation
zbMATH Open document ID: 1394.35011
DOI: 10.1155/2015/430823
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We consider some equations with compacton solutions and nonlinear dispersion from the point of view of Lie classical reductions. The reduced ordinary differential equations are suitable for qualitative analysis and their dynamical behaviour is described. We derive by using the multipliers method some nontrivial conservation laws for these equations.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6926341
Wikidata QID: Q59118563
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/430823
OpenAlex ID: W1513456590
cites work: Compactons: Solitons with finite wavelength
cites work: Traveling wave solutions of the K(m, n) equation with generalized evolution
cites work: The \(K(m, n)\) equation with generalized evolution term studied by symmetry reductions and qualitative analysis
cites work: Conservation laws for some compacton equations using the multiplier approach
cites work: On compactons induced by a non-convex convection
cites work: Conservation laws for some equations that admit compacton solutions induced by a non-convex convection
cites work: Direct Construction of Conservation Laws from Field Equations
cites work: Direct construction method for conservation laws of partial differential equations Part II: General treatment
cites work: A new conservation theorem
cites work: Weak self-adjoint differential equations
cites work: Nonlinear self-adjointness and conservation laws
cites work: Self-adjoint sub-classes of generalized thin film equations
cites work: Nonlinear self-adjointness of a generalized fifth-order KdV equation
cites work: Self-adjoint sub-classes of third and fourth-order evolution equations
cites work: On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models
cites work: Quasi self-adjoint nonlinear wave equations
cites work: Self-adjointness and conservation laws of a generalized Burgers equation
cites work: Weak self-adjointness and conservation laws for a porous medium equation
cites work: Some weak self-adjoint Hamilton-Jacobi-Bellman equations arising in financial mathematics
cites work: Some conservation laws for a forced KdV equation
cites work: Nonlinear self-adjointness of the Krichever-Novikov equation
cites work: Nonlinear self-adjointness through differential substitutions
cites work: Quasi self-adjointness of a class of third order nonlinear dispersive equations
cites work: On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies
cites work: Conservation laws of scaling-invariant field equations
description: scientific article; zbMATH DE number 6926341