2 00 6 A Classification of Integrable Quasiclassical Deformations of Algebraic Curves . ∗
نویسنده
چکیده
A previously introduced scheme for describing integrable deformations of of algebraic curves is completed. Lenard relations are used to characterize and classify these deformations in terms of hydrodynamic type systems. A general solution of the compatibility conditions for consistent deformations is given and expressions for the solutions of the corresponding Lenard relations are provided.
منابع مشابه
A Classification of Integrable Quasiclassical Deformations of Algebraic Curves. *
A previously introduced scheme for describing integrable deformations of of algebraic curves is completed. Lenard relations are used to characterize and classify these deformations in terms of hydrodynamic type systems. A general solution of the compatibility conditions for consistent deformations is given and expressions for the solutions of the corresponding Lenard relations are provided.
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متن کاملSe p 20 04 Integrable Deformations of Algebraic Curves . ∗
A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. We emphasize the use of several types of dynamical variables : branches, power sums and potentials.
متن کاملA ug 2 00 6 Dispersionless integrable equations as coisotropic deformations . Extensions and reductions
Interpretation of dispersionless integrable hierarchies as equations of coisotropic deformations for certain associative algebras and other algebraic structures is discussed. It is shown that within this approach the dispersionless Hirota equations for dKP hierarchy are nothing but the associativity conditions in a certain parametrization. Several generalizations are considered. It is demonstra...
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تاریخ انتشار 2013