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Dr. Mahmoud Attiya Mahmoud Ibrahim Khattab :: Publications: |
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| Title: | Mathematical examination for the energy flow in an inhomogeneous Heisenberg ferromagnetic chain |
| Authors: | Mohamed R. Ali; Mahmoud A. Khattab; Samah M. Mabrouk |
| Year: | 2022 |
| Keywords: | inverse scattering transformation; solitons; Heisenberg ferromagnetic chain |
| Journal: | Optik - International Journal for Light and Electron Optics |
| Volume: | 271 |
| Issue: | Not Available |
| Pages: | 170138 |
| Publisher: | Urban & Fischer |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
The dynamics of energy transfer through alpha-helical proteins or an inhomogeneous Heisenberg ferromagnetic spin chain can be described by a (2+1) dimensional variable-coefficient nonlinear Schrödinger equation (NLS). In this paper, we derived Lax pair based on AKNS scheme then we apply the inverse scattering transform (IST) method to explore one-soliton solution and some other novel soliton solutions. Propagation and properties of the solitons are discussed: solitary wave, parabolic and cubic solitons are presented. The obtained one-soliton solution is graphically represented with three dimensions plots and compared with the previous solutions in other contributions. |
