Matrix Kadomtsev–Petviashvili equation: matrix identities and explicit non-singular solutions
Matrix Kadomtsev–Petviashvili equation: matrix identities and explicit non-singular solutions
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DOI：
10.1088/0305-4470/36/18/307
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发表时间：
2003-04
期刊：
影响因子：
--
通讯作者：
A. Sakhnovich
中科院分区：
文献类型：
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作者：
A. Sakhnovich
本文利用矩阵Kadomtsev-Petviashvili（KP）方程的一种新的Bäcklund-Darboux变换构造和研究了显式多参数解和波函数（以矩阵指数表示）.利用系统理论中的能控性概念，给出了一类KP I的自伴非奇异解。特别研究了有理衰减自伴非奇异解的一个子类。一些结果证明新的标量的情况下也。
A new version of the Bäcklund–Darboux transformation for the matrix Kadomtsev–Petviashvili (KP) equation is used to construct and study explicit multi-parameter solutions and wavefunctions (in terms of the matrix exponents). A class of the self-adjoint non-singular solutions of KP I is introduced using the controllability notion from the system theory. A subclass of the rationally decaying self-adjoint non-singular solutions is studied, in particular. Several results prove new in the scalar case also.