期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204312408
出版社：Hindawi Publishing Corporation
摘要：We present a method to construct inverse scattering problems for
integrable nonlinear evolution equations in the two-spatial
dimension. The temporal component is the adjoint of the linearized
equation and the spatial component is a partial differential
equation with respect to the spatial variables. Although this idea
has been known for the one-spatial dimension for some time, it is
the first time that this method is presented for the case of the
higher-spatial dimension. We present this method in detail for
the Veselov-Novikov equation and the
Kadomtsev-Petviashvili equation.
