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Nonlocal Extensions of Similarity Methods
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bluman, George |
| Copyright Year | 2008 |
| Abstract | Similarity methods include the calculation and use of symmetries and conservation laws for a given partial differential equation (PDE). There exists a variety of software to calculate and use local symmetries and local conservation laws. However, it is often the case that a given PDE admits no useful local symmetry or local conservation law. It is shown how to construct systematically trees of nonlocally related but equivalent systems of PDEs. A local symmetry or local conservation law of a PDE in such a tree could yield a useful nonlocal symmetry or nonlocal conservation law for a given PDE within such a tree. If this is the case, one can extend the usefulness of similarity methods for a given PDE. Many examples are given. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.ubc.ca/~bluman/JNLMP2008.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Aharonov–Bohm effect Hospital admission Nonlocal Lagrangian Reifenstein Syndrome Trees (plant) |
| Content Type | Text |
| Resource Type | Article |
