Abstract:
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 $\mathbb{R}$.
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