Dualism in the Theory of Soliton Solutions II

被引：0

作者：

Beklaryan, L. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Cent Econ & Math Inst, Moscow 117418, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 11期

基金：

俄罗斯科学基金会;

关键词：

soliton solutions; functional-differential equation; Manhattan lattice; EXISTENCE; SYSTEMS;

D O I：

10.1134/S0965542524701537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a continuation of the work by L.A. Belkaryan and A.L. Belkaryan published in this journal (64 (7), 1472-1490 (2024)). A theorem is proved formulated as a conjecture in the preceding paper stating the existence and uniqueness of soliton solutions and corresponding solutions of the functional differential equation from a dual pair "function-operator." For the model of traffic flow on a Manhattan lattice, this result is used to study soliton solutions with more complicated characteristics than those specified by an additive cyclic subgroup of R.

引用

页码：2588 / 2610

页数：23

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