Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Mechanics of Non-stretching Elastica in Three Dimensional
  Space   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.

2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ