Lie symmetry analysis classifies admitted point symmetries of the generalized nonlinear heat equation into cases based on whether C(u)/K(u) is constant, enabling transformation to a linear equation and invariant solutions for power-law and other coefficients.
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Lie symmetry analysis of the nonlinear generalized heat equation for varying cross-section geometry
Lie symmetry analysis classifies admitted point symmetries of the generalized nonlinear heat equation into cases based on whether C(u)/K(u) is constant, enabling transformation to a linear equation and invariant solutions for power-law and other coefficients.