Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On quantization of weakly nonlinear lattices. Envelope solitons   A way of quantizing weakly nonlinear lattices is proposed. It is based on
introducing "pseudo-field" operators. In the new formalism quantum envelope
solitons together with phonons are regarded as elementary quasi-particles
making up boson gas. In the classical limit the excitations corresponding to
frequencies above linear cut-off frequency are reduced to conventional envelope
solitons. The approach allows one to identify the quantum soliton which is
localized in space and understand existence of a narrow soliton frequency band.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ