On multi-dimensional partial differential equations with power nonlinearities in first derivatives

DOI10.13108/2017-9-1-98zbMath1463.35190OpenAlexW2611323066MaRDI QIDQ5136688

Igor V. Rakhmelevich

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa369

zbMATH Keywords

partial differential equationpower nonlinearitymethod of separation of variablesreduced equation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20)

Related Items (4)

TWO-DIMENSIONAL NON-AUTONOMOUS HYPERBOLIC EQUATION OF THE SECOND ORDER WITH POWER-LAW NONLINEARITIES ⋮ MULTI–DIMENSIONAL SECOND–ORDER DIFFERENTIAL EQUATIONS WITH QUADRATIC FORM ON THE FIRST DERIVATIVES ⋮ On Multidimensional Determinant Differential-Operator Equations ⋮ Modified Bianchi equation with nonlinear right-hand side

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
• ON TWO-DIMENSIONAL HYPERBOLIC EQUATIONS WITH POWERLAW NON-LINEARITY IN THE DERIVATIVES
• ON SOME NEW SOLUTIONS OF THE MULTI-DIMENSIONAL FIRST ORDER PARTIAL DIFFERENTIAL EQUATION WITH POWER-LAW NON-LINEARITIES
• Functional separation of variables for Laplace equations in two dimensions

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