On symmetries, conservation laws, and variational problems for partial differential equations
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Publication:4300192
DOI10.1063/1.530533zbMath0799.35005OpenAlexW2095184685MaRDI QIDQ4300192
Gerald H. Katzin, Vladimir Rosenhaus
Publication date: 9 August 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530533
KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Invariance and symmetry properties for PDEs on manifolds (58J70)
Related Items (9)
On Conservation Laws for the Equation of Non-Stationary Transonic Gas Flows ⋮ Symmetries and conservation laws of the Euler equations in Lagrangian coordinates ⋮ Infinite symmetries and conservation laws ⋮ Sub-symmetries and conservation laws ⋮ SYMMETRIES AND FIRST INTEGRALS FOR NON-VARIATIONAL EQUATIONS ⋮ On conservation laws and boundary conditions for ``short waves equation ⋮ An infinite set of conservation laws for infinite symmetries ⋮ Boundary conditions for infinite conservation laws ⋮ Infinite conservation laws for differential systems
Cites Work
- Local symmetries and conservation laws
- Group properties and new solutions of Navier-Stokes equations
- Necessity and sufficiency of \(f\) being a divergence for vanishing of variational derivatives of \(f\): general case
- Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
- Noether-type conservation laws for perfect fluid motions
- Generalizations of Noether’s Theorem in Classical Mechanics
- Lagrangians for differential equations of any order
- Composite variational principles and the determination of conservation laws
- Hamilton's Principle and the Conservation Theorems of Mathematical Physics
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