SOLITONS AND OTHER SOLUTIONS FOR THE (2+1)-DIMENSIONAL HEISENBERG FERROMAGNETIC SPIN CHAIN EQUATION USING IMPROVED MODIFIED EXTENDED TANH-FUNCTION METHOD

2021 ◽  
Vol 10 (11) ◽  
pp. 3491-3504
Author(s):  
A. Darwish ◽  
H.M. Ahmed ◽  
M. Ammar ◽  
M.H. Ali ◽  
A.H. Arnous
Keyword(s):  
Periodic Solutions ◽  
Exponential Function ◽  
Spin Chain ◽  
Function Method ◽  
Chain Model ◽  
Bright Solitons ◽  
Dark Solitons ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Spin Chain Model ◽  
Chain Equation

This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic solutions, Weierstrass elliptic periodic type solutions and exponential function solutions. Moreover, some of the obtained solutions are represented graphically.

New soliton solutions of Heisenberg ferromagnetic spin chain model

Pramana ◽  
2022 ◽  
Vol 96 (1) ◽  
Author(s):  
Kottakkaran Sooppy Nisar ◽  
Mustafa Inc ◽  
Adil Jhangeer ◽  
Muhammad Muddassar ◽  
Barka Infal
Keyword(s):  
Spin Chain ◽  
Soliton Solutions ◽  
Chain Model ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Spin Chain Model

scholarly journals Soliton Solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp -expansion function method

2021 ◽  
Vol 67 (3 May-Jun) ◽  
pp. 393
Author(s):  
S. Tuluce Demiray ◽  
U. Bayrakci
Keyword(s):  
Spin Chain ◽  
Function Method ◽  
Time Derivative ◽  
Soliton Solutions ◽  
Bright Soliton ◽  
Integration Schemes ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Chain Equation

This paper addresses the Heisenberg ferromagnetic spin chain equation with beta time derivative. Integration schemes are used to study this equation. They are generalized Kudryashov method and modified exp -expansion function method. Dark, bright and dark-bright soliton solutions of this equation are procured.

Solitons and complexitons to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain model

2019 ◽  
Vol 33 (30) ◽  
pp. 1950368
Author(s):  
Aliyu Isa Aliyu ◽  
Yongjin Li ◽  
Mustafa Inc ◽  
Dumitru Baleanu ◽  
Ali S. Alshomrani
Keyword(s):  
Spin Chain ◽  
Spin Dynamics ◽  
Physical Structure ◽  
Optical Solitons ◽  
Singular Solutions ◽  
Chain Model ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Spin Chain Model ◽  
Graphic Illustration ◽  
Modified Formula

This paper investigates the ([Formula: see text])-dimensional Heisenberg ferromagnetic spin chain (HMF) model. The model describes the nonlinear spin dynamics of HMF. By adopting the modified [Formula: see text]-Expansion and projective Riccati equation methods, we report the dark, combined dark-bright and envelope optical solitons, complexitons singular solutions of the equation along with the conditions that must be satisfied for solitons to exist. The physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of optical solitons.

scholarly journals Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries

2020 ◽  
Vol 960 ◽  
pp. 115206
Author(s):  
Xiaotian Xu ◽  
Junpeng Cao ◽  
Yi Qiao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
...  
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain ◽  
Chain Model ◽  
Spin Chain Model ◽  
Bethe Ansatz Solution

The quantum speed limit time of a two-qubit XYZ spin chain with intrinsic decoherence

2020 ◽  
Vol 35 (29) ◽  
pp. 2050244
Author(s):  
Lu Hou ◽  
Bin Shao ◽  
Yuguang Zhu
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Quantum Correlation ◽  
Speed Limit ◽  
Chain Model ◽  
Intrinsic Decoherence ◽  
Physical Reason ◽  
Limit Time ◽  
Spin Chain Model ◽  
Initial States

We study the quantum speed limit (QSL) time of the two-qubit XYZ spin chain model with the influence of intrinsic decoherence. We show that the intrinsic decoherence can suppress the evolution of this system, no matter what initial states the two qubits start from. The investigation of entanglement reveals that quantum correlation is the physical reason for the acceleration of the system. In addition, we also demonstrate that for different initial states, external magnetic field may have opposite influence on QSL time and it mainly derives from the inhibition of entanglement as magnetic field increases.

Dark solitons, Lax pair and infinitely-many conservation laws for a generalized (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation in the inhomogeneous Heisenberg ferromagnetic spin chain

2017 ◽  
Vol 31 (03) ◽  
pp. 1750013 ◽  
Author(s):  
Xue-Hui Zhao ◽  
Bo Tian ◽  
De-Yin Liu ◽  
Xiao-Yu Wu ◽  
Jun Chai ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Spin Chain ◽  
Variable Coefficient ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Lax Pair ◽  
Nonlinear Schrodinger Equation ◽  
Dark Solitons ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Dimensional Variable

Under investigation in this paper is a generalized (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation in an inhomogeneous Heisenberg ferromagnetic spin chain. Lax pair and infinitely-many conservation laws are derived, indicating the existence of the multi-soliton solutions for such an equation. Via the Hirota method with an auxiliary function, bilinear forms, dark one-, two- and three-soliton solutions are derived. Propagation and interactions for the dark solitons are illustrated graphically: Velocity of the solitons is linearly related to the coefficients of the second- and fourth-order dispersion terms, while amplitude of the solitons does not depend on them. Interactions between the two solitons are shown to be elastic, while those among the three solitons are pairwise elastic.

scholarly journals Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
F. Deuretzbacher ◽  
D. Becker ◽  
J. Bjerlin ◽  
S. M. Reimann ◽  
L. Santos
Keyword(s):  
Spin Chain ◽  
Chain Model ◽  
One Dimensional ◽  
Strongly Interacting ◽  
Spin Chain Model
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