Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction
- https://doi.org/10.1080/14029251.2016.1135645How to use a DOI?
- Nonlinear Schödinger models, Ermakov reduction, Nonlinear waves
Nonlinear Schrödinger equations with spatial modulation associated with integrable Hamiltonian systems of Ermakov-Ray-Reid type are introduced. An algorithmic procedure is presented which exploits invariants of motion to construct exact wave packet representations with potential applications in a wide range of physical contexts such as, ‘inter alia’, the analysis of Bloch wave and matter wave solitonic propagation and pulse transmission in Airy modulated NLS models. A particular Ermakov reduction for Mooney-Rivlin materials is set in the broader context of transverse wave propagation in a class of higher-order hyperelastic models of incompressible solids.
- © 2016 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 - Colin Rogers AU - Giuseppe Saccomandi AU - Luigi Vergori PY - 2021 DA - 2021/01 TI - Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction JO - Journal of Nonlinear Mathematical Physics SP - 108 EP - 126 VL - 23 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1135645 DO - https://doi.org/10.1080/14029251.2016.1135645 ID - Rogers2021 ER -