Periodic property of the time-fractional Kundu–Mukherjee–Naskar equation

Periodic property of the time-fractional Kundu–Mukherjee–Naskar equation

The Kundu–Mukherjee–Naskar equation (KMN) can model the data transmission in birefringent fibers through molecules or pulses in a few Femto-seconds. A fractional modification with Riemann-Liouville time-fractional derivative is suggested to take into account the discontinuous period, and the wave-tr...

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Bibliographic Details
Main Authors: Ji-Huan He, Yusry O. El-Dib
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Rogue waves
Kundu–Mukherjee–Naskar equation
Periodic solution
Stability Analysis
Normal form transformation
Exp-function method
Online Access:http://www.sciencedirect.com/science/article/pii/S221137972031812X
Description
Summary:The Kundu–Mukherjee–Naskar equation (KMN) can model the data transmission in birefringent fibers through molecules or pulses in a few Femto-seconds. A fractional modification with Riemann-Liouville time-fractional derivative is suggested to take into account the discontinuous period, and the wave-train description is used to reduce the equation to a fractional nonlinear Schrödinger equation, which is further converted to a damping Duffing equation. Effective modification of the homotopy perturbation method is suggested to deal with the damping term.
ISSN:2211-3797

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