Volume 18, Issue 4, December 2011, Pages 491 - 499
Propagation of Spikes in Nonresonant Atomic Media: The Reduced Maxwell-Duffing Model
Authors
Utpal Roy
Indian Institute of Technology, Patna, India
Thokala Soloman Raju
Department of Physics, Karunya University, Karunya Nagar, Coimbatore 641114, India,soloman@karunya.edu
Prasanta K. Panigrahi*, Ashutosh Rai
Indian Institute of Science Education and Research, Kolkata, Mohanpur, Nadia 741252, India
Received 28 December 2010, Accepted 18 May 2011, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001763How to use a DOI?
- Keywords
- Extremely short pulses; Maxwell-duffing equations; Möbius transformation
- Abstract
We obtain spikes or extremely short pulses for reduced Maxwell-Duffing equations under a general boundary condition, connecting the electric field and electron amplitude, using a Möbius transformation. For a nonzero background, this system is shown to admit two families of exact solutions in the form of solitary waves and kink-type of solutions. Parameter domains are delineated where localized solutions signifying both bright and dark spikes, as also singular solutions indicating self-focusing effect, exist in this dynamical system, in nonresonant atomic media.
- Copyright
- © 2011 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 - Utpal Roy AU - Thokala Soloman Raju AU - Prasanta K. Panigrahi AU - Ashutosh Rai PY - 2021 DA - 2021/01/07 TI - Propagation of Spikes in Nonresonant Atomic Media: The Reduced Maxwell-Duffing Model JO - Journal of Nonlinear Mathematical Physics SP - 491 EP - 499 VL - 18 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001763 DO - 10.1142/S1402925111001763 ID - Roy2021 ER -