Integrability, soliton solutions and modulation instability analysis of a(2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation

2019 ◽  
Vol 77 (3) ◽  
pp. 770-778 ◽  
Author(s):  
Ding Guo ◽  
Shou-Fu Tian ◽  
Tian-Tian Zhang
Keyword(s):  
Spin Chain ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Instability Analysis ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Chain Equation

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.

Investigation of various soliton solutions to the Heisenberg ferromagnetic spin chain equation

2017 ◽  
Vol 32 (9) ◽  
pp. 1093-1105 ◽  
Author(s):  
Tukur Abdulkadir Sulaiman ◽  
Tolga Aktürk ◽  
Hasan Bulut ◽  
Haci Mehmet Baskonus
Keyword(s):  
Spin Chain ◽  
Soliton Solutions ◽  
Heisenberg Ferromagnetic Spin Chain ◽  
Chain Equation

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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