Recursion operators for a class of integrable third-order evolution equations
| dc.creator | Petersson, Niclas | |
| dc.creator | Euler, Norbert | |
| dc.creator | Euler, Marianna | |
| dc.date | 2003-04-09 | |
| dc.date.accessioned | 2026-07-07T05:34:40Z | |
| dc.date.available | 2026-07-07T05:34:40Z | |
| dc.description | We consider $u_t=u^α u_{xxx}+n(u)u_xu_{xx}+m(u)u_x^3+ r(u)u_{xx} +p(u)u_x^2 + q(u)u_x+s(u)$ with $α=0$ and $α=3$, for those functional forms of $m, n, p, q, r, s$ for which the equation is integrable in the sense of an infinite number of Lie-Bäcklund symmetries. Local $x$- and $t$-independent recursion operators that generate these infinite sets of symmetries are obtained for the equations. A combination of potential forms, hodograph transformations and $x$-generalised hodograph transformations are applied to the obtained equations. | |
| dc.identifier | https://arxiv.org/abs/nlin/0304012 | |
| dc.identifier | http://arxiv.org/abs/nlin/0304012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80452 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Recursion operators for a class of integrable third-order evolution equations | |
| dc.type | text |