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一个N维Hamilton系统的Painleve′分析与精确解

DOI: 10.3969/j.issn.1000-5013.2007.03.027

Keywords: Painleve′分析, Hamilton系统, B??ckland变换, Schwardz导数

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Abstract:

考虑一个Hamilton函数为H=1/2 +1/2 2+1/2<Λp,p>的N维Hamilton系统,它与无穷维可积系统的经典例子――Kdv方程的Lax对密切相关的.利用Painleve′分析的方法,证明该N维Hamilton系统的是完全可积的,并得到其自B??ckland变换.通过研究相关的Schwardz导数方程的性质,求出系统解的内积形式的精确表达式及Jacobi椭圆函数形式的解.

References

[1]  CAO Ce-wen. Acta mathematics sinica [J]. New Series, 1991(7):216-223.
[2]  WEISS J, TABOR M, CARNEVALE G. The painleve property for partial differential equation [J]. Journal of Mathematical Physics, 1984, (24):329-331.
[3]  STEEB W H, EULER N. Nonlinear evolution equations and Painleve′ test [M]. Sigapore:World Scientetifis, 1988.
[4]  ZHANG J S. Explicit solutions of a finite-dimensional integrable system [J]. Physics Letters A, 2005, (348):24-27.
[5]  CONTE R, MUSETTE M, GRUNDLAND A M. A reduction of the resonant three-wave interation to the generic six painleve equation [J]. Journal of Physics A:Mathematical and General, 2006, (39):12115-12127.

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