Volume 15, Issue Supplement 1, August 2008, Pages 1 - 24
Nonlocal Extensions of Similarity Methods
Available Online 1 August 2008.
- https://doi.org/10.2991/jnmp.2008.15.s1.1How to use a DOI?
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - George Bluman PY - 2008 DA - 2008/08 TI - Nonlocal Extensions of Similarity Methods JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 24 VL - 15 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.s1.1 DO - https://doi.org/10.2991/jnmp.2008.15.s1.1 ID - Bluman2008 ER -