Journal article
Multi-pulse edge-localized states on quantum graphs
Abstract
We construct the edge-localized stationary states of the nonlinear Schrödinger equation on a general quantum graph in the limit of large mass. Compared to the previous works, we include arbitrary multi-pulse positive states which approach asymptotically a composition of N solitons, each sitting on a bounded (pendant, looping, or internal) edge. We give sufficient conditions on the edge lengths of the graph under which such states exist in the …
Authors
Kairzhan A; Pelinovsky DE
Journal
Analysis and Mathematical Physics, Vol. 11, No. 4,
Publisher
Springer Nature
Publication Date
12 2021
DOI
10.1007/s13324-021-00603-3
ISSN
1664-2368