Conservation laws and solitons for a generalized inhomogeneous fifth-order nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system
School of Management, No. 48 Xinxi Road, Haidian District Beijing Sport University, 100084 Beijing, P.R. China
Received: 11 November 2013
Received in final form: 19 March 2014
Published online: 1 July 2014
In this paper, we investigate a generalized inhomogeneous fifth-order nonlinear Schrödinger equation, generated by deforming the inhomogeneous Heisenberg ferromagnetic spin system through the space curve formalism. Based on the Ablowitz-Kaup-Newell-Segur system, infinitely many conservation laws will be obtained. Via the introduction of the auxiliary functions, bilinear form and N-soliton solutions have been derived with symbolic computation. Propagation and interaction of solitons have been studied through the analytical results. Effects of the inhomogeneous functions f = μ1x + ν1 and h = μ2x + ν2 on the soliton velocity and interactions have been discussed graphically and analytically.
Key words: Nonlinear Dynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014