Conserved quantities along with Painleve analysis and optical solitons for the nonlinear dynamics of Heisenberg ferromagnetic spin chains model

被引:103
作者
Ali, I. [1 ]
Seadawy, A. R. [2 ]
Rizvi, S. T. R. [1 ]
Younis, M. [3 ]
Ali, K. [1 ]
机构
[1] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan
[2] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia
[3] Univ Punjab, Coll Informat Technol, Lahore, Pakistan
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2020年 / 34卷 / 30期
关键词
Nonlinear Schrodinger equation; optical solitons; Painleve analysis; conservation laws; MULTIPLE WAVE SOLUTIONS; BACKLUND TRANSFORMATION; DIFFERENTIAL-EQUATIONS; MODULATION INSTABILITY; COMPUTATION; BEHAVIOR; DARK;
D O I
10.1142/S0217979220502835
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, we will investigate a famous model of nonlinear sciences namely (2 + 1)-dimensional nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) model for the evaluation of optical travelling waves by implementing unified method (UM). We will extract dark as well as bright solitary waves along with elliptic waves. We will draw conserved quantities of our governing model by utilizing dilation symmetry. At the end, the integrability of nonlinear spin dynamics of HFSC model with the help of Painleve test will also be studied in this paper.
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页数:15
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