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 The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations. Shigeki Matsutani

The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations


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ISBN: 9789819781621 | 501 pages | 13 Mb

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Nonlinear Schrödinger equation in terms of elliptic and hyperelliptic . In this paper, we generalize the algebraic differential relation to those of genera two and three in terms of the hyperelliptic sigma functions. The Weierstrass Sigma Function in Higher Genus and Applications . This book's area is special functions of one or several complex variables. Special functions have been applied to dynamics and physics. Matsutani | The Weierstrass Sigma Function in Higher Genus and . Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations . book, and cover applications to integrable PDEs . [PDF] The mean values of the Weierstrass elliptic function For higher genus algebraic dependences, periods of second kind integrals also satisfy differential relations and are related to the theories of integrable . [PDF] On higher genus Weierstrass sigma-function - arXiv Abstract. The goal of this paper is to propose a new way to generalize the Weierstrass sigma- function to higher genus Riemann surfaces. A numerical representation of hyperelliptic KdV solutions integrable equations of higher degrees. We consider our approach to . The KdV equation and the Baker–Weierstrass hyperelliptic ℘ functions of genus two.



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