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arXiv · 1310.2407

An asymptotic expansion of the Casorati determinant and its application to discrete integrable systems

Masato Shinjo·Masashi Iwasaki·Yoshimasa Nakamura
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Abstract

The Hankel determinant appears in the representation of solutions to several integrable systems. Asymptotic expansion of the Hankel determinant thus plays a key role for investigating asymptotic analysis of such integrable system. In this paper, an asymptotic expansion formula of a certain Casorati determinant is presented as an extension of the Hankel case. It is also shown that an application of it to an asymptotic analysis of the discrete hungry Lotka-Volterra system, which is one of basic models in mathematical biology.

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Masato Shinjo, Masashi Iwasaki, Yoshimasa Nakamura. 2013-10-09. An asymptotic expansion of the Casorati determinant and its application to discrete integrable systems. https://arxiv.org/abs/1310.2407

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