Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of kinklike structures in generalized models   We study the stability of topological structures in generalized models with a
single real scalar field. We show that it is driven by a Sturm-Liouville
equation and investigate the conditions that lead to the existence of explicit
supersymmetric operators that factorize the stability equation and allow us to
construct partner potentials. In this context, we discuss the property of shape
invariance as a possible manner to calculate the discrete states and their
respective eigenvalues.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat