Dualism in the Theory of Soliton Solutions II.

Autor: Beklaryan, L. A.
Předmět:
Zdroj: Computational Mathematics & Mathematical Physics; Nov2024, Vol. 64 Issue 11, p2588-2610, 23p
Abstrakt: 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 . [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index