Titlebook: Analytic-Bilinear Approach to Integrable Hierarchies; L. V. Bogdanov Book 1999 Springer Science+Business Media Dordrecht 1999 Complex anal

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Book 1999e of the a-dressing method is suitable for applications to integrable nonlinear PDEs, integrable nonlinear discrete equations, and, as recently discovered, for t.he applications of integrable systems to continuous and discret.e geometry. The primary motivation of the author was to formalize the appr

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he language of the a-dressing method is suitable for applications to integrable nonlinear PDEs, integrable nonlinear discrete equations, and, as recently discovered, for t.he applications of integrable systems to continuous and discret.e geometry. The primary motivation of the author was to formalize the appr978-94-010-5922-0978-94-011-4495-7

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Rational Loops and Integrable Discrete Equations. I: Zero Local Indices,unit disc, with the dynamics induced by the subgroup of rational loops of the group Γ., where Γ. is defined as a group of analytic loops having no zeros outside the unit circle and equal to 1 at infinity. We will investigate in detail the equations corresponding to the set of different loops with on

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Generalized KP Hierarchy,y connected with two of them, namely the Sato approach [.] (see also [., ., ., ., .]) and the ˉ?-dressing method [., ., ., .]. The main elements of the consistent analytic-bilinear approach to integrable hierarchies were developed in [.], [.] (see also [.], [.]).

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