Solitary Wave Solutions to the Multidimensional Landau-Lifshitz Equation

被引：5
|
作者：
Neirameh, Ahmad [1 ]
机构：
[1] Gonbad Kavous Univ, Dept Math, Fac Sci, Gonbad, Iran
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2021年 / 2021卷
关键词：
SOLITONS;
D O I：
10.1155/2021/5538516
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the different types of new soliton solutions to the Landau-Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite energy in the initial time. The parameters of the soliton envelope are obtained as a function of the dependent model coefficients.
引用
收藏
页数：7
相关论文
共 50 条
  • [31] Energy concentration for the Landau-Lifshitz equation
    Moser, Roger
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 25 (05): : 987 - 1013
  • [32] Experimental verification of the Landau-Lifshitz equation
    Nielsen, C. F.
    Justesen, J. B.
    Sorensen, A. H.
    Uggerhoj, U., I
    Holtzapple, R.
    NEW JOURNAL OF PHYSICS, 2021, 23 (08):
  • [33] Hysteresis in the Linearized Landau-Lifshitz Equation
    Chow, A.
    Morris, K. A.
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 4747 - 4752
  • [34] Two Dimensional Landau－Lifshitz Equation
    Chen YunmeiDeptof MathUniversity of FloridaGainesvilleFL USA Guo Boling Institute of Applied Physics and Computational Mathematics Beijing POBox China
    数学进展, 1996, (02) : 187 - 188
  • [35] The Landau-Lifshitz equation in atomistic models
    Ellis, M. O. A.
    Evans, R. F. L.
    Ostler, T. A.
    Barker, J.
    Atxitia, U.
    Chubykalo-Fesenko, O.
    Chantrell, R. W.
    LOW TEMPERATURE PHYSICS, 2015, 41 (09) : 705 - 712
  • [36] Numerical methods for the Landau-Lifshitz equation
    E, W
    Wang, XP
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (05) : 1647 - 1665
  • [37] Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions
    R. F. Bikbaev
    A. I. Bobenko
    A. R. Its
    Theoretical and Mathematical Physics, 2014, 178 : 143 - 193
  • [38] SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU-LIFSHITZ EQUATION
    Zhong, Penghong
    Wang, Shu
    Chen, Shengtao
    MODERN PHYSICS LETTERS A, 2011, 26 (32) : 2437 - 2452
  • [39] Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions
    Bikbaev, R. F.
    Bobenko, A. I.
    Its, A. R.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2014, 178 (02) : 143 - 193
  • [40] Comparison of analytical solutions of Landau-Lifshitz equation for "damping" and "precessional" switchings
    Bertotti, G
    Mayergoyz, I
    Serpico, C
    Dimian, M
    JOURNAL OF APPLIED PHYSICS, 2003, 93 (10) : 6811 - 6813
12345