Computation of the Lie-Bäcklund algebras for second-order equations
✍ Scribed by S. V. Khabirov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1984
- Tongue
- English
- Weight
- 386 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We introduce the concept of intrinsic property for a system of evolution type and prove that homogeneity is an intrinsic property.
Invariance conditions which link a class of ordinary differential equations with a type of B~cklund-like transformation are developed and solved. These nonpoint transformations are used to obtain 'superposition principles' and as an illustration of their consequences a derivation of the duplication
Using the Maurcr Cartan structural equations of the Lie group SL(Z. R) it is shown that the auto-Eicklund transformations of solutions of the Sine Gordon, the Kortcwegpde Vries and the modified Kortcwcg de Vries equation can bc derived from the same Lie Hianchi transformation sending surfaces of con