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New exact solutions of nonlinear transport equations with proportional and general variable delayстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 1 апреля 2026 г.
- Автор: Sorokin V.G.
- Журнал: Journal of Mathematical Sciences
- Год издания: 2026
- Издательство: Plenum Publishers
- Местоположение издательства: United States
- DOI: 10.1007/s10958-026-08264-y
- Аннотация: We consider nonlinear transport equations with proportional delay that admit exact solutions. More than thirty such equations are described, including those with a constant transport coefficient or with a coefficient depending on the unknown function in a power-law, exponential, or logarithmic form. The kinetic functions of all considered equations contain free parameters and, in most cases, also include arbitrary functions. Using the principle of structural analogy of solutions, we obtain additive, multiplicative, generalized, and functional separable solutions, as well as traveling wave and self-similar solutions. Most exact solutions involve free parameters. Additionally, we present more than twenty nonlinear transport equations with general variable delay that admit exact solutions. The results of the article can be used in formulating test problems to assess the accuracy of numerical methods.
- Добавил в систему: Сорокин Всеволод Григорьевич