Publication

Ermakov-modulated nonlinear schrödinger models. integrable reduction

Rogers, Colin
; 
Saccomandi, Giuseppe
; 
Vergori, Luigi
Identifiers
http://hdl.handle.net/10379/13693
https://doi.org/10.13025/28067
Repository DOI
10.1080/14029251.2016.1135645
Publication Date
2016-01-02
Keywords
nonlinear schodinger models, ermakov reduction, nonlinear waves, elliptic gaussian beams, shallow-water theory, radial propagation, wave propagation, spatial solitons, elastic-material, operator method, shear-waves, media, systems
Type
Article
Downloads
Show all metadata
Citation
Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi (2016). Ermakov-modulated nonlinear schrödinger models. integrable reduction. Journal of Nonlinear Mathematical Physics 23 (1), 108-126
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.
Funder
Publisher
Informa UK Limited
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
Collections
Externally hosted open access publications with University of Galway authors (2)