Conditional and Nonlocal Symmetry of Nonlinear Heat Equation
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In the paper the nonlinear equation \[ u_0 + \vec\nabla (f(u)\vec\nabla u) = h(u) \] is considered. The author investigates conditional symmetry in three directions. The first direction is a research of the \(Q\)-conditional symmetry. The second direction is studying conditional symmetry when an algebra of invariance is known and an additional condition is unknown. The third direction is the investigation of the conditional symmetry in the case where a known additional condition differs from~\(\,Qu=0 \).
nonlocal symmetry, nonlinear heat equation, Nonlinear parabolic equations, Geometric theory, characteristics, transformations in context of PDEs
nonlocal symmetry, nonlinear heat equation, Nonlinear parabolic equations, Geometric theory, characteristics, transformations in context of PDEs
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