ON SOME NEW SOLUTIONS OF THE MULTI-DIMENSIONAL FIRST ORDER PARTIAL DIFFERENTIAL EQUATION WITH POWER-LAW NON-LINEARITIES

DOI10.17223/19988621/35/3OpenAlexW4231285057MaRDI QIDQ5042805

Igor V. Rakhmelevich

Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu457

zbMATH Keywords

partial differential equationfunctional separation of variablespower-law non-linearity

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (4)

TWO-DIMENSIONAL NON-AUTONOMOUS HYPERBOLIC EQUATION OF THE SECOND ORDER WITH POWER-LAW NONLINEARITIES ⋮ ON SOLUTIONS OF THE MONGE – AMPERE EQUATION WITH POWER-LAW NON-LINEARITY WITH RESPECT TO FIRST DERIVATIVES ⋮ On multi-dimensional partial differential equations with power nonlinearities in first derivatives ⋮ A multidimensional nonautonomous equation containing a product of powers of partial derivatives

Cites Work

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• The generalized and functional separation of variables in mathematical physics and mechanics
• A family of nonlinear Klein–Gordon equations and their solutions
• Separation of variables in the nonlinear wave equation
• Functional separation of variables for Laplace equations in two dimensions

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