Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic and scattering behaviour for degenerate multi-solitons in the
  Hirota equation   We construct all higher order conserved charges from a general
two-dimensional zero curvature condition using a Gardner transformation.
Employing two of those charges in the definition of a Hamiltonian allows to
view the Hirota equations as an integrable $\mathcal{PT}$-symmetric extension
of the nonlinear Schr\"{o}dinger equation. We construct new degenerate
multi-soliton solutions from Hirota's direct method as well as Darboux-Crum
transformations based on Jordan states. We study the properties of these
solutions, computing their asymptotic time-dependent displacements and also
show that their scattering process has a distinct characteristic behaviour
different from the nondegenerate counterparts allowing only for interactions of
absorb-emit type.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc