Binary transformations and (2+1)-dimensional integrable systems

被引：0
作者：
Sydorenko Yu.M. [1 ]
机构：
[1] Lviv University, Lviv
来源：
Ukrainian Mathematical Journal | 2002年 / 54卷 / 11期
关键词：
Evolution Equation; Explicit Form; Integrable System; Nonlinear Model; Matrix Equation;
D O I：
10.1023/A:1024048625927
中图分类号：
学科分类号：
摘要：
A class of nonlinear nonlocal mappings that generalize the classical Darboux transformation is constructed in explicit form. Using as an example the well-known Davey-Stewartson (DS) nonlinear models and the Kadomtsev-Petviashvili matrix equation (MKP), we demonstrate the efficiency of the application of these mappings in the (2+1)-dimensional theory of solitons. We obtain explicit solutions of nonlinear evolution equations in the form of a nonlinear superposition of linear waves. © 2002 Plenum Publishing Corporation.
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页码：1859 / 1884
页数：25
相关论文
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