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Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects |
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| Authors: | JS He YS Tao K Porsezian AS Fokas |
| Institution: | 1. Department of Mathematics, Ningbo University Ningbo, Zhejiang 315211, P. R. China hejingsong@nbu.edu.cn;3. Department of Mathematics, Ningbo University Ningbo, Zhejiang 315211, P. R. China;4. Department of Physics, Pondicherry University, Puducherry 605014, India;5. DAMTP, University of Cambridge, Cambridge, CB3 0WA, UK |
| 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. |
| Keywords: | Rogue wave Soliton inhomogeneous Nonlinear Fibre Hirota equation |