HIGHER DIMENSIONAL PAINLEVé INTEGRABLE MODELS FROM THE REAL NONLINEAR EVOLUTION EQUATIONS
Ruan Hang-yu (阮航宇)ab, Chen Yi-xin (陈一新)b
a Institute of Modern Physics, Ningbo University, Ningbo 315211, China; b Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China
Abstract A conformal 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 Zabolotskaya-Khokhlov and Kudomtsev-Petviashvili (ZKKP) equation as concrete examples, we obtain some new higher dimensional conformal invariant models with Painlevé property and the approximate solutions of these models. In certain special cases, some of the approximate solutions become exact.
Received: 04 June 2000
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No.19875041), and by the Natural Science Foundation of Zhejiang Province, China (Grant No.100033).
Cite this article:
Ruan Hang-yu (阮航宇), Chen Yi-xin (陈一新) HIGHER DIMENSIONAL PAINLEVé INTEGRABLE MODELS FROM THE REAL NONLINEAR EVOLUTION EQUATIONS 2001 Chinese Physics 10 87
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