HIGHER DIMENSIONAL PAINLEVé INTEGRABLE MODELSWITH REAL PHYSICAL SIGNIFICATION
Hang‐yu Ruan, Yixin Chen, (1)宁波大学物理系,宁波315211;浙江大学近代物理中心,杭州310027; (2)浙江大学近代物理中心,杭州310027 · Acta Physica Sinica · 2001
A “M?bius” invariant asymptotic expansion approach to solve any nonlinear integrable and nonintegrable models with any dimension is proposed. Many new Painlevé integrable models with the same dimension can be obtained at the same time. Taking the (2+1)-dimensional KdV-Burgers(KdVB) equation, (3+1)-dimensional Kudomtsev-Petviashvili (KP) equation as concrete examples, we obtain some new higher dimensional “M?bius” invariant models with Painlevé property and the approximate solutions of these models. In some special case, some approximate solutions become exact.