科研之友
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摘要
After embedding the Kadomtsev-Petviashvili equation in higher dimensions and extending the Painleve analysis approach to a new form such that the coefficients of the expansion around the singular manifold possess conformal invariance and contain explicit new space variables, we can get infinitely many Painleve' integrable models in (3+1)-dimensions and higher dimensions. Some concrete higher dimensional modified Korteweg-de Vries type of extensions are given. Whether the models are Lax integrable or integrable under other meanings remain still open.
- 出版日期1998-10
- 单位复旦大学
