Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational solutions for three semi-discrete modified Korteweg-de Vries
  type equations   In this paper, we consider three semi-discrete modified Korteweg-de Vries
type equations which are the nonlinear lumped self-dual network equation,the
semi-discrete lattice potential modified Korteweg-de Vries equation and a
semi-discrete modified Korteweg-de Vries equation. We derive several kinds of
exact solutions, in particular rational solutions, in terms of the Casorati
determinant for these three equations respectively. For some rational
solutions, we present the related asymptotic analysis to understand their
dynamics better.

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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas