Lie Symmetries of Differential Equations

Symmetries.- Lie groups of transformations.- Lie algebras.- Lie groups of transformations of differential equations.- Lie symmetries of ordinary differential equations.- Lie symmetries of partial differential equations.- Conservation laws.- Inverse problems in Lie group analysis of differential equations.- Lie symmetries and equivalent differential equations.- Conditional symmetries and equivalence transformations.- Approximate symmetries.- Computer algebra programs.

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• Mecânica clássica
• Cálculo diferencial e equações

Lie symmetries;Differential equations;Continuum mechanics;Lie groups;Lie algebras;Dimensional analysis;Lie group transformations;Lie group analysis;Structure constants;Lie subgroups;Lie subalgebras;Ordinary differential equations;Partial differential equations;Conservation laws