Integrable Systems of Algebraic Origin and Separation of Variables

Обзор посвящен интегрируемым полиномиальным гамильтоновым системам, ассоциированным с симметрическими степенями плоских алгебраических кривых. В центре внимания открытые авторами связи систем Штеккеля, уравнений Новикова для $g$-й стационарной иерархии Кортевега-де Фриза и координат Дубровина-Новикова на универсальном расслоении якобианов гиперэллиптических кривых с новыми системами, полученными при рассмотрении симметрических степеней кривых, когда степень не равна роду кривой. Библиография: 52 названия.

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Integrable Systems of Algebraic Origin and Separation of Variables

Cited by 7 publications

References 8 publications

Hitchin Systems on Hyperelliptic Curves

Hitchin Systems on Hyperelliptic Curves

Separation of Variables for Hitchin Systems with the Structure Group $$\mathrm{SO}(4)$$ on Genus $$2$$ Curves

Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves

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