On Exact Multidimensional Solutions of a Nonlinear System of First Order Partial Differential Equations

This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions. Such type of Hamilton-Jacobi like equations are considered in mechanics and control theory. In the pape...

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Bibliographic Details
Main Authors: A.A. Kosov, E.I. Semenov, V. V. Tirskikh
Format: Article
Language:English
Published: Irkutsk State University 2019-06-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
Online Access:http://mathizv.isu.ru/en/article/file?id=1297