Rogue Wave Solutions and Generalized Darboux Transformation for an Inhomogeneous Fifth-Order Nonlinear Schrödinger Equation. (27th August 2017)

• Record Type: Journal Article
• Authors: Song, N.; Zhang, W.; Wang, P.; Xue, Y. K.
• Other Names: Su Hua Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-08-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/6910926
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The rogue wave solutions are discussed for an inhomogeneous fifth-order nonlinear Schrödinger equation, which describes the dynamics of a site-dependent Heisenberg ferromagnetic spin chain. Using the Darboux matrix, the generalized Darboux transformation is constructed and a recursive formula is derived. Based on the transformation, the first-order to the third-order rogue wave solutions are obtained. Then, the nonlinear dynamics of the first-order to the third-order rogue waves are studied on the basis of some free parameters. Several new structures of the rogue waves are found using numerical simulation. The conclusions will be a supportive tool to study the rogue waves better.