Classification of Integrable Evolution Equations of the Form $u_t=u_{xxx}+f(t,x,u,u_x,u_{xx})$
| dc.creator | Bilge, Ayse Humeyra | |
| dc.date | 1996-05-17 | |
| dc.date.accessioned | 2026-07-07T09:17:52Z | |
| dc.date.available | 2026-07-07T09:17:52Z | |
| dc.description | We obtain the classification of integrable equations of the form $u_t=u_{xxx}+f(t,x,u,u_x,u_{xx})$ using the formal symmetry method of Mikhailov et al [A.V.Mikhailov, A.B.Shabat and V.V.Sokolov, in {\it What is Integrability} edited by V.E. Zakharov (Springer-Verlag, Berlin 1991)]. We show that all such equations can be transformed to an integrable equation of the form $v_t=v_{xxx}+f(v,v_x,v_{xx})$ using transformations $Φ(x,t,u,v,u_x,v_x)=0$, and the $u_{xx}$ dependence can be eliminated except for two equations. | |
| dc.description | 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/solv-int/9605004 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9605004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153823 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Classification of Integrable Evolution Equations of the Form $u_t=u_{xxx}+f(t,x,u,u_x,u_{xx})$ | |
| dc.type | text |