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

In this paper, we investigate the following inhomogeneous generalized nonlinear Schrodinger (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. (C) 2019 Elsevier Ltd. All rights reserved.