B-determining equations: applications to nonlinear partial differential equations

DOI10.1017/S0956792500001832zbMath0838.35023OpenAlexW2018947059MaRDI QIDQ4850786

Oleg V. Kaptsov

Publication date: 30 May 1996

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792500001832

zbMATH Keywords

symmetry groups

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05)

Related Items (9)

Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ Invariant Sets and Explicit Solutions to a Third-Order Model for the Shearless Stratified Turbulent Flow ⋮ Compatible differential constraints to an infinite chain of transport equations for cumulants ⋮ Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium ⋮ Generalised conditional symmetries and Nucci's method of iterating the nonclassical symmetries method ⋮ New class of symmetries for self-gravitating hydrodynamics equations ⋮ A three-dimensional semi-empirical model of a far turbulent wake ⋮ Third-order conditional Lie-Bäcklund symmetries of nonlinear reaction-diffusion equations ⋮ A multidimensional superposition principle: classical solitons. I

Cites Work

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• Non-classical symmetry reduction: example of the Boussinesq equation
• New similarity reductions of the Boussinesq equation
• Group-Invariant Solutions of Differential Equations

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