TWO-DIMENSIONAL NON-AUTONOMOUS HYPERBOLIC EQUATION OF THE SECOND ORDER WITH POWER-LAW NONLINEARITIES

DOI10.17223/19988621/49/5OpenAlexW2771575517MaRDI QIDQ5042870

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/vtgu607

zbMATH Keywords

self-similar solutionpower-law nonlinearitynon-autonomous equationfunctional separation of variablessolution of travelling wave type

Mathematics Subject Classification ID

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

Related Items (1)

A multi-dimensional non-autonomous non-linear partial differential equation with senior partial derivative

Cites Work

• Reduction of multidimensional first order equations with multi-homogeneous function of derivatives
• The generalized and functional separation of variables in mathematical physics and mechanics
• 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
• On multi-dimensional partial differential equations with power nonlinearities in first derivatives
• Functional separation of variables for Laplace equations in two dimensions
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