Algebraic and Geometric Methods in Nonlinear Differential Equations
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Plamen Iliev
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Georgia Institute of Technology, Atlanta, Georgia
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USA
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Tihomir Valchev
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Bulgarian Academy of Sciences, Sofia
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Bulgaria
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Milen Yakimov
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Louisiana State University, Baton Rouge, Louisiana
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USA
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Abstract:
| | The session is dedicated to the implementation of modern algebraic and geometric techniques to study nonlinear (ordinary or partial) differential equations. Although the scope of the session covers nonlinear differential equations of generic type, a special emphasis will be put on systems that are integrable in the sense of the inverse scattering transform, e.g. Kadomtsev-Petviashvili equation, Toda lattice, Heisenberg ferromagnet equations etc., and the corresponding hierarchies. Among the topics to be included are the following:
• Algebro-geometric methods to the nonlinear equations of mathematical physics;
• Bispectral problem related to integrable hierarchies;
• Applications of Lie algebras and Lie groups to integrable equations. |
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List of approved abstract |
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