University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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)..

[img] Text
Restricted to Repository staff only
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (17MB)


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 :
Laine-Pearson, F.
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

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800