Dynamics and Exact Solutions of the Kadomtsev-Petviashvili Equation

被引：0
作者：
Kushner, A. G. [1 ]
Tao, Sinian [1 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 10期
基金：
俄罗斯科学基金会;
关键词：
Kadomtsev-Petviashvili equation; finite dimensional dynamics; finite type equations; symmetry; exact solutions; SYMMETRIES;
D O I：
10.1134/S1995080224605642
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The article is devoted to the finite-dimensional dynamics of the Kadomtsev-Petviashvili equation and their use for constructing exact solutions. Finite-dimensional dynamics of evolutionary differential equations is a natural generalization of the theory of dynamical systems to partial differential equations. The necessary information on the finite-dimensional dynamics theory is given.
引用
收藏
页码：4679 / 4685
页数：7
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