Integrable systems are remarkable differential (difference) equations which can, in a sense, be solved explicitly. Such systems are known to arise, via multiple scale expansions, as approximations to various models of physical origin. Despite their relatively `simple' form, integrable approximations are known to capture the essential behaviour of the original non-integrable models.
Another important feature of integrable systems is their internal symmetry which underlies their solution procedure and makes them a deep and interesting object of study. Integrable systems play nowadays a unifying role bringing together such diverse areas as algebra, geometry, analysis, nonlinear physics, and applied mathematics.
The aim of this satellite workshop is to bring together leading experts in the field of nonlinear waves, dispersive hydrodynamics and the relevant mathematical techniques. We plan a combination of research and review talks emphasizing the key concepts, ideas and problems in a way accessible to any qualified mathematician/PhD student in the field. The main stress will be put on applied aspects of the theory.
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INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
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The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
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“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
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Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
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Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.