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摘要
In this paper, the separation transformation approach is extended to some high dimensional non-linear wave equations, such as the (N+1)-dimensional Zhiber-Shabat equation, the generalized (N+1)-dimensional complex non-linear Klein-Gord on equation and the generalized (N+1)-dimensional Toda lattice equation. As a result, a class of special exact solutions of these equations are obtained. The solutions obtained contain one or two arbitrary functions which may lead to abundant structures of the high dimensional non-linear wave equations.
- 出版日期2010-9-20
- 单位中央财经大学
