The new soliton solution types to the Myrzakulov-Lakshmanan-XXXII-equation
Zahran E.H.M. Bekir A. Ibrahim R.A. Myrzakulov R.
2024American Institute of Mathematical Sciences
AIMS Mathematics
2024#9Issue 36145 - 6160 pp.
Our attention concenters on deriving diverse forms of the soliton arising from the Myrzakulov-Lakshmanan XXXII (M-XXXII) that describes the generalized Heisenberg ferromagnetic equation. This model has been solved numerically only using the N-fold Darboux Transformation method, not solved analytically before. We will derive new types of the analytical soliton solutions that will be constructed for the first time in the framework of three impressive schemas that are prepared for this target. These three techniques are the Generalized Kudryashov scheme (GKS), the (G/G)-expansion scheme and the extended direct algebraic scheme (EDAS). Moreover, we will establish the 2D, 3D graphical simulations that clear the new dynamic properties of our achieved solutions.
generalized Kudryashov scheme , the (G/G)-expansion scheme , the extended direct algebraic scheme , the Myrzakulov-Lakshmanan XXXII-equation , the soliton solutions
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Department of Basic Science, Benha University, Faculty of Engineering, Shubra, Egypt
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir, 26030, Turkey
Departments of Basic Science, Benha University, Faculty of Engineering, Shubra, Egypt
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Department of Basic Science
Neighbourhood of Akcaglan
Departments of Basic Science
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
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