Eur. Phys. J. D (2014) 68: 181
https://doi.org/10.1140/epjd/e2014-40701-y

Regular Article

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

^a e-mail: wangpan_dream@163.com

Received: 11 November 2013
Received in final form: 19 March 2014
Published online: 1 July 2014

Abstract

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.