1998/01/31 by Shigeki Matsutani · 1 citation
Physics and Astronomy · #solv-int #nlin.SI
paper · pdf · doi:10.1016/s0393-0440(98)00042-4
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arxiv created 1998/03/07 · arxiv updated 2009/11/30
Recently I proposed a new calculation scheme of a partition function of an immersion object using path integral method and theory of soliton (to appear in J.Phys.A). I applied the scheme to problem of elastica in two-dimensional space and Willmore surface in three dimensional space. In this article, I will apply the scheme to elastica in three dimensional space as a more physical model in polymer science. Then orbit space of the nonlinear Schrodinger and complex modified Korteweg-de Vries equations can be regarded as the functional space of the partition function. By investigation of the partition function, I gives a conjecture of the relation of these soliton equations.