Volume 20, Issue 3, October 2013, Pages 407 - 419
Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects
Authors
J.S. He
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P. R. China,hejingsong@nbu.edu.cn
Y.S. Tao
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P. R. China
K. Porsezian
Department of Physics, Pondicherry University, Puducherry 605014, India
A.S. Fokas
DAMTP, University of Cambridge, Cambridge, CB3 0WA, UK
Received 17 June 2013, Accepted 18 August 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.855045How to use a DOI?
- Keywords
- Rogue wave; Soliton; inhomogeneous Nonlinear Fibre; Hirota equation
- Abstract
We consider an inhomogeneous Hirota equation with variable dispersion and nonlinearity. We introduce a novel transformation which maps this equation to a constant coefficient Hirota equation. By employing this transformation we construct the rogue wave solution of the inhomogeneous Hirota equation. Furthermore, we demonstrate that one can control the rogue wave dynamics by suitably choosing the dispersion and the nonlinearity. These results suggest an efficient approach for controlling the basic features of the relevant rogue wave and may have practical implications for the management of the rogue waves in nonlinear optical systems.
- Copyright
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - J.S. He AU - Y.S. Tao AU - K. Porsezian AU - A.S. Fokas PY - 2021 DA - 2021/01/06 TI - Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects JO - Journal of Nonlinear Mathematical Physics SP - 407 EP - 419 VL - 20 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.855045 DO - 10.1080/14029251.2013.855045 ID - He2021 ER -