Interactions of solitons for a generalized nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system

In this paper, we investigate the following inhomogeneous generalized nonlinear Schrödinger (NLS) equation, generated by deforming the inhomogeneous Heisenberg ferromagnetic spin system through the space curve formalism and using the prolongation structure theory. Bilinear form and two-soliton solut...

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Bibliographic Details
Published in:Applied mathematics letters 2020-04, Vol.102, p.106139, Article 106139
Main Authors: Wang, Pan, Li, Yan-Li, Qi, Feng-Hua
Format: Article
Language:English
Subjects:
Hirota method
Infinitely many conversation laws
Inhomogeneous generalized nonlinear Schrödinger equation
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Summary:In this paper, we investigate the following inhomogeneous generalized nonlinear Schrödinger (NLS) equation, generated by deforming the inhomogeneous Heisenberg ferromagnetic spin system through the space curve formalism and using the prolongation structure theory. Bilinear form and two-soliton solutions for the inhomogeneous generalized NLS equation are obtained. Infinitely many conservation laws for the inhomogeneous generalized NLS equation are also derived. Interactions of solitons and properties of propagation are investigated analytically and graphically, which are different from the types with the only time variables or the single space variables.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.106139