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) | ||||||
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Divisions : | Theses | ||||||
Authors : |
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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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