Exact Solutions of a Nonlinear Equation of the Theory of Spin Waves

被引：0
|
作者：
Aristov, A. I. [1 ,2 ]
Kholomeeva, A. A. [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow 119991, Russia
[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
来源：
DIFFERENTIAL EQUATIONS | 2022年 / 58卷 / 10期
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1134/S00122661220100032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Families of exact solutions of a nonlinear equation from the theory of spin waves are constructed that describe a nonstationary process in a magnetic medium with spatial dispersion. The group properties of this equation and the corresponding stationary equation are investigated. A theorem on the nonuniqueness of the classical solution of the Cauchy problem for the nonlinear equation is proved.
引用
收藏
页码：1318 / 1326
页数：9
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