New exact solutions of nonlinear transport equations with delay

Автор: Sorokin Vsevolod G.
Журнал: Journal of Mathematical Sciences
Год издания: 2025
Издательство: Plenum Publishers
Местоположение издательства: United States
DOI: 10.1007/s10958-025-07601-x
Аннотация: The article presents new exact solutions for nonlinear transport equations with constant delay. More than 40 delay transport equations with various transfer coefficients that allow exact solutions are described. Additive, multiplicative, generalized, and functional separable solutions, as well as traveling-wave and self-similar solutions obtained by the method of functional constraints, are given. Many solutions are expressed in terms of elementary functions. For some types of equations, theorems on the “multiplication” of solutions are formulated. All the equations and their exact solutions contain free parameters and/or arbitrary functions. The equations depending on arbitrary functions that allow exact solutions containing free parameters are useful for formulating a broad spectrum of test problems that help assessing the accuracy of numerical methods.
Добавил в систему: Сорокин Всеволод Григорьевич

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