Ermakov-modulated nonlinear schrödinger models. integrable reduction

Rogers, C., Saccomandi, G. and Vergori, L. (2016) Ermakov-modulated nonlinear schrödinger models. integrable reduction. Journal of Nonlinear Mathematical Physics, 23(1), pp. 108-126. (doi: 10.1080/14029251.2016.1135645)

Abstract

Nonlinear Schrodinger 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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Vergori, Dr Luigi
• Authors: Rogers, C., Saccomandi, G., and Vergori, L.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Nonlinear Mathematical Physics
• Publisher: Taylor & Francis
• ISSN: 1402-9251
• ISSN (Online): 1776-0852
• Copyright Holders: Copyright © 2016 Taylor and Francis
• First Published: First published in Journal of Nonlinear Mathematical Physics 23(1):108-126
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher.