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Hierarchy of the Kadomtsev-Petviashvili equations under nonlocal constraints: Many-dimensional generalizations and exact solutions of reduced system

We present a spatially two-dimensional generalization of the hierarchy of Kadomtsev-Petviashvili equations under nonlocal constraints (the so-called 2-dimensionalk-constrained KP-hierarchy, briefly called the 2d k-c-hierarchy). As examples of (2+1)-dimensional nonlinear models belonging to the 2d k-...

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Bibliographic Details
Date:	1999
Main Authors:	Samoilenko, A. M., Samoilenko, V. G., Sidorenko, Yu. M., Самойленко, А. М., Самойленко, В. Г., Сидоренко, Ю. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4585
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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