Clout of fractional time order and magnetic coupling coefficients on the soliton and modulation instability gain in the Heisenberg ferromagnetic spin chain

2021 ◽  
Vol 151 ◽  
pp. 111254
Author(s):  
Alphonse Houwe ◽  
Souleymanou Abbagari ◽  
Serge Yamigno Doka ◽  
Mustafa Inc ◽  
Thomas B. Bouetou
Keyword(s):  
Spin Chain ◽  
Modulation Instability ◽  
Magnetic Coupling ◽  
Coupling Coefficients ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Time Order

Dynamic behaviors for a (2 + 1)-dimensional inhomogenous Heisenberg ferromagnetic spin chain system

2021 ◽  
pp. 2150251
Author(s):  
Douvagai ◽  
Yaouba Amadou ◽  
Gambo Betchewe ◽  
Alphonse Houwe ◽  
Mustafa Inc ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Riccati Equation ◽  
Spin Chain ◽  
Spin Dynamics ◽  
Semiclassical Limit ◽  
Mapping Method ◽  
Soliton Propagation ◽  
Generalized Riccati Equation ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Anisotropic Interactions

We investigate a (2 + 1)-dimensional nonlinear Schrodinger equation (NLSE), which describes the spin dynamics of (2 + 1)-dimensional inhomogeneous Heisenberg ferromagnetic spin chain (IHFSC) with bilinear and anisotropic interactions in the semiclassical limit. Miscellaneous new solitons solutions are obtained through the generalized Riccati equation mapping method (GREMM). Moreover, the effects of homogeneity on the soliton propagation and interaction are discussed. The derived structure of the obtain solutions offers a rich platform to better understand the nonlinear dynamics in the ferromagnetic materials.

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.

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