Dynamics of Rogue Waves for a Generalized Inhomogeneous Third-Order Nonlinear Schr&#x00F6;dinger Equation From the Heisenberg Ferromagnetic System

Ni Song; Hui Xue

doi:10.1109/ACCESS.2019.2926541

IEEE Access (Jan 2019)

Dynamics of Rogue Waves for a Generalized Inhomogeneous Third-Order Nonlinear Schrödinger Equation From the Heisenberg Ferromagnetic System

Ni Song,
Hui Xue

Affiliations

Ni Song: ORCiD; Department of Mathematics, School of Science, North University of China, Taiyuan, China
Hui Xue: Department of Mathematics, School of Science, North University of China, Taiyuan, China

DOI: https://doi.org/10.1109/ACCESS.2019.2926541
Journal volume & issue: Vol. 7
pp. 89649 – 89657

Abstract

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In this paper, dynamics of the higher-order rogue waves for a generalized inhomogeneous third-order nonlinear Schrödinger equation is investigated by using the generalized Darboux transformation. Based on the Lax pair, the first-order to the third-order rogue wave solutions are derived through algebraic iteration starting from a seed solution. Nonlinear dynamical properties of rogue waves are analyzed on the basis of 3-D plots and density profiles. The new arrangement of the higher-order rogue waves is obtained. It is helpful to study the phenomenon of rogue waves in the Heisenberg ferromagnetic system.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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