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Когомологические аспекты геометрии дифференциальных уравнений
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Lax representations via extensions and deformations of Lie symmetry algebras О. И. Морозов |
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Аннотация: The challenging problem in the theory of integrable partial differential equations is to find conditions that are formulated in inherent terms of a PDE under study and ensure existence of a Lax representation. The talk will present the technique for constructing Lax representations via extensions of the contact symmetry algebras of PDEs. Also I will show examples that use deformations of infinite-dimensional Lie algebras for searching new integrable PDEs. Язык доклада: английский |
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