The Davey-Stewartson equations : a numerical study Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/s4655j47f

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled system of nonlinear partial differential equations which describes the evolution of a three dimensional wave packet in water of a finite depth. This system of equations is the closest integrable two dimensional analog of the well-known one dimensional nonlinear Schrodinger equation. The method of inverse scattering can thus be used to solve the Davey-Stewartson equations in theory, but in practice this method is not feasible with arbitrary initial conditions. In this thesis we present a numerical method for solving the Davey-Stewartson equations. It is an extension of the split-step Fourier method that proved to be so successful for the nonlinear Schrodinger equation. This method is tested on some known soliton and dromion solutions and then used to study modulational instability and solutions which become singular in finite time.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Made available in DSpace on 2010-07-16T20:16:38Z (GMT). No. of bitstreams: 1 WhitePeterW1995.pdf: 1101538 bytes, checksum: e2b7024dadc7a340438674b858380bb9 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-07-16T20:14:39Z (GMT) No. of bitstreams: 1 WhitePeterW1995.pdf: 1101538 bytes, checksum: e2b7024dadc7a340438674b858380bb9 (MD5)
  • description.provenance : Submitted by Nitin Mohan (mohanni@onid.orst.edu) on 2010-07-15T23:11:50Z No. of bitstreams: 1 WhitePeterW1995.pdf: 1101538 bytes, checksum: e2b7024dadc7a340438674b858380bb9 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-07-16T20:16:38Z (GMT) No. of bitstreams: 1 WhitePeterW1995.pdf: 1101538 bytes, checksum: e2b7024dadc7a340438674b858380bb9 (MD5)

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items