Посилання:Solvable nonlinear evolution PDEs in multidimensional space / F. Calogero, M. Sommacal // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ.
Підтримка:This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The final correction of this paper was done while both authors were taking part in a Scientific Gathering on Integrable Systems and the Transition to Chaos at the Centro International de Ciencias in Cuernavaca.
A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type. Isochronous variants of these evolution PDEs are also considered.