Objective
The purpose of this project is:
(a) To investigate the relation between the singularity structure of a number of physically important nonlinear ODEs and PDEs in the complex domain and the analytical methods needed to solve these equations and
(b) to solve boundary value problems for some novel nonlinear PDEs describing wave propagation. More specifically, we intend to study integrable and solvable ODEs possessing only algebraic singularities, i.e. ODEs whose solutions are all finitely sheeted (FSS property). We attempt either to validate or disprove the conjecture that all FSS systems can be mapped by nonlinear transformations to ones that possess the full Painleve property. We also plan to elucidate the breakdown of the FSS property beyond a certain contour size in the complex plane. Thus, we aim to justify rigorously our numerical results which connect non-integrability with the occurrence of infinitely sheeted solutions (the ISS property) and singularity clustering in the complex domain. We also plan to study the ISS property in near-integrable PDEs whose physically interesting solutions (e.g. solitary waves) are expected to have different dynamics from that of integrable PDEs. Finally, we will study boundary value problems, for these near-integrable PDEs, using the new method for solving boundary value problems for integrable PDEs recently introduced by Fokas.
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
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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)
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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
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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
CB3 9EW 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.