DOI: 10.12732/ijam.v37i3.8
SOLITON SOLUTIONS FOR
THE DISAGGREGATED
MANHATTAN LATTICE
Leva Beklaryan 1, Armen Beklaryan 2,
Andranik Akopov 3, §
1 Central Economics and Mathematics Institute RAS
47, Nakhimovsky Pr.
Moscow - 117418, RUSSIA
2 HSE University
26-28, Shabolovka Str.
Moscow - 119049, RUSSIA
3 Central Economics and Mathematics Institute RAS
Nakhimovsky pr., 47
Moscow - 117418, RUSSIA
Abstract. The article is devoted to the study of soliton solutions in a disaggregated model of traffic flow in the Manhattan lattice. Such a study is carried out within the framework of the dualism of the space of soliton solutions and solutions of an induced pointwise functional differential equation. A dual pair of “function-operator” arises, which allows the same function that sets the functional differential equation to match the most “simple” operator that generates a “simple” dynamic system. For the characteristics of soliton solutions from a given range, the entire set of soliton solutions is described, and their asymptotics in both space and time are indicated. All bounded soliton solutions are described for the considered disaggregated Manhattan lattice.
How
to cite this paper?
DOI: 10.12732/ijam.v37i3.8
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 3
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