Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi
• Is Part Of: Journal of nonlinear mathematical physics. Volume 23:Issue 1(2016)
• Page Start: 108
• Page End: 126
• Publication Date: 2016-01-02
• Subjects: Nonlinear Schödinger models -- Ermakov reduction -- Nonlinear waves; 34C20 -- 35Q55 -- 35Q74; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1135645
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : 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.