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Geometry and Stability of Multi-Periodic Surface Wave Patterns.

Laine-Pearson, F. E. (2002) Geometry and Stability of Multi-Periodic Surface Wave Patterns. Doctoral thesis, University of Surrey (United Kingdom)..

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Abstract

The stability of spatiotemporal waves will be analysed for four conservative systems: a pair of coupled nonlinear Schrodinger equations, the system with cubic nonlinearity (a popular optics model), the semilinear wave equation (a prototype nonlinear wave model), and the water-wave model based on irrotational flow. In particular, two-wave interactions will be investigated for the first and third models; resonant wave mixing between waves and wavelength doubled waves will be considered for the second model; two-wave interactions and three-wave interactions will be investigated for the fourth model. Moreover, since each of these models can be reformulated as a Hamiltonian system on a multisymplectic structure, the stability analyses will be performed within a multisymplectic framework.

Item Type: Thesis (Doctoral)
Divisions : Theses
Authors :
NameEmailORCID
Laine-Pearson, F. E.f.laine-pearson@surrey.ac.uk
Date : 2002
Additional Information : Thesis (Ph.D.)--University of Surrey (United Kingdom), 2002.
Depositing User : EPrints Services
Date Deposited : 06 May 2020 12:07
Last Modified : 01 Jul 2020 13:09
URI: http://epubs.surrey.ac.uk/id/eprint/855760

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