Abstract
ОБ АППРОКСИМАЦИИ УРАВНЕНИЯ ХОПФА НАГРУЖЕННЫМИ УРАВНЕНИЯМИ
Highlights
Введение Известно, что значительное количество физических, биологических, экологических и других процессов описывается нелинейными дифференциальными уравнениями в частных производных
We investigate the methods for reducing first-order partial differential equations with power nonlinearity to loaded equations using the example of the Hopf equation
The solution to the reduced equation is applied to a sequential approximation of the solution to a nonlinear equation by solutions to a linearized equation
Summary
Введение Известно, что значительное количество физических, биологических, экологических и других процессов описывается нелинейными дифференциальными уравнениями в частных производных. We investigate the methods for reducing first-order partial differential equations with power nonlinearity to loaded equations using the example of the Hopf equation. We have demonstrated the possibility of applying reduction to loaded equations to find approximate solutions to first-order partial differential equations with power nonlinearity. Для нахождения приближенного решения нелинейного уравнения сначала производится его редукция к нагруженному уравнению [2, с.
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