Super Korteweg-de Vries equations associated to super extensions of the Virasoro algebra
✍ Scribed by B.A. Kupershmidt
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 451 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
In this article we show how to construct hierarchies of partial differential equations from the vertex operator representations of toroidal Lie algebras. In the smallest exampleᎏrank 2 toroidal cover of sl ᎏwe obtain an extension of the 2 KdV hierarchy. We use the action of the corresponding infinit
We study the asymptotic behavior for large time of solutions to the Cauchy problem for the generalized Korteweg de Vries (gKdV) equation u t + ( |u| \&1 u) x + 1 3 u xxx =0, where x, t # R when the initial data are small enough. If the power \ of the nonlinearity is greater than 3 then the solution