Objective
The so-called integrable evolution equations possess several remarkable properties. In particular, their initial value problem can be solved using a nonlinear version of the Fourier transform method, called inverse scattering (spectral) method. For evolution equations in one and two spatial dimensions this method involves the Riemann-Hilbert and the d-bar formalisms, respectively.
An important advantage of these formulations is that they can be used for the explicit evaluation of the long time behaviour of the solution. Among the most important integrable evolution equations in one space dimension is the Camassa-Holm (CH) equation, which is a certain generalization of the celebrated Korteweg-de Vries equation.
The main objective of this project is to evaluate the long time behaviour of the solution of the CH equation using the Riemann-Hilbert formalism, to implement the inverse scattering method to equations analogous with the CH equation which are generalizations of the nonlinear Schroedinger and of the sine-Gordon equations, and to extend these results to integrable generalizations of the above equations in two and three spatial variables.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences physical sciences optics fibre optics
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2005-MOBILITY-5
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
CAMBRIDGE
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.