Applied Mathematical Sciences

2 primary works

Symmetry and Integration Methods for Differential Equations

by George Bluman and Stephen Anco

Published 10 July 2002

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

Applications of Symmetry Methods to Partial Differential Equations

by George W. Bluman, Alexei F. Cheviakov, and Stephen Anco

Published 19 November 2009

This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Backlund symmetries, contact transformations, adjoint symmetries, Noether's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.