Conservation laws of scaling-invariant field equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2003
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| _version_ | 1866917079146299392 |
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| author | Anco, Stephen C. |
| author_facet | Anco, Stephen C. |
| contents | A simple conservation law formula for field equations with a scaling symmetry is presented. The formula uses adjoint-symmetries of the given field equation and directly generates all local conservation laws for any conserved quantities having non-zero scaling weight. Applications to several soliton equations, fluid flow and nonlinear wave equations, Yang-Mills equations and the Einstein gravitational field equations are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_ph_0303066 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Conservation laws of scaling-invariant field equations Anco, Stephen C. Mathematical Physics 70S10 A simple conservation law formula for field equations with a scaling symmetry is presented. The formula uses adjoint-symmetries of the given field equation and directly generates all local conservation laws for any conserved quantities having non-zero scaling weight. Applications to several soliton equations, fluid flow and nonlinear wave equations, Yang-Mills equations and the Einstein gravitational field equations are considered. |
| title | Conservation laws of scaling-invariant field equations |
| topic | Mathematical Physics 70S10 |
| url | https://arxiv.org/abs/math-ph/0303066 |