Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic conservation laws for the derivative Nonlinear
  Schr\"{o}dinger equation   Compared with macroscopic conservation law for the solution of the derivative
nonlinear Schr\"odingger equation (DNLS) with small mass in \cite{KlausS:DNLS},
we show the corresponding microscopic conservation laws for the Schwartz
solutions of DNLS with small mass. The new ingredient is to make use of the
logarithmic perturbation determinant introduced in \cite{Rybkin:KdV:Cons Law,
Simon:Trace} to show one-parameter family of microscopic conservation laws of
the $A(\kappa)$ flow and the DNLS flow, which is motivated by
\cite{HKV:NLS,KV:KdV:AnnMath,KVZ:KdV:GAFA}.

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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph