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期刊论文

Equations of arbitrary order invariant under the Kadomtsev–Petviashvili symmetry group

楼森岳S. Y. Loua) Xiao-Yan Tang

JOURNAL OF MATHEMATICAL PHYSICS 45(2004)1020-1030,-0001,():

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摘要/描述

By means of a simple new approach, a general Kadomtsev-Petviashvili (KP) family with an arbitrary function of group invariants of arbitrary order is proposed. It is proved that the general KP family possesses a common infinite dimensional Kac-Moody-Virasoro Lie point symmetry algebra. The known fourth order one can be re-obtained as a special example. The finite transformation group is presented in a clearer form. The Kac-Moody-Virasoro group invariant solutions and the Kac-Moody group invariant solutions of the KP family are determined by the Boussinesq and KdV families, respectively.

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版权说明:以下全部内容由楼森岳上传于   2009年08月26日 15时52分55秒,版权归本人所有。

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