Mathematical examination for the energy flow in an inhomogeneous Heisenberg ferromagnetic chain

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...

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Bibliographic Details
Published inOptik (Stuttgart) Vol. 271; p. 170138
Main Authors Ali, Mohamed R., Khattab, Mahmoud A., Mabrouk, S.M.
Format Journal Article
LanguageEnglish
Published Elsevier GmbH 01.12.2022
Subjects
Alpha-helical protein
Heisenberg ferromagnetic spin chain
Inverse scattering transform
Lax pair
Nonlinear Schrödinger equation
Solitons
Alpha-helical protein
Nonlinear Schrödinger equation
Heisenberg ferromagnetic spin chain
Inverse scattering transform
Lax pair
Solitons
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Summary: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.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2022.170138