Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics: Proceedings of the International Workshop Acireale, Catania, Italy, October 27–31, 1992

Front Matter....Pages i-xi
Hidden and Nonlocal Symmetries of Nonlinear Differential Equations....Pages 1-5
Internal Symmetries of Differential Equations....Pages 7-21
Examples of Completely Integrable Bateman Pairs....Pages 23-33
Group Method Analysis of the Dispersion of Gaseous Pollutants in the Presence of a Temperature Inversion....Pages 35-41
Applications of the Generalized Symmetry Method....Pages 43-53
Conformal Invariance, Huygens Principle and Fundamental Solutions for Scalar Second Order Hyperbolic Equations....Pages 55-69
Potential Symmetries and Equivalent Conservation Laws....Pages 71-84
Some Remarks on A Class of Ordinary Differential Equations: The Riccati Property....Pages 85-92
Differential-Algebraic and Differential-Geometric Approach to the Study of Involutive Symbols....Pages 93-99
The Bihamiltonian Approach to Integrable Systems....Pages 101-110
Conservation Laws in Dissipative Solids....Pages 111-123
Exact Solutions of the Boltzmann Equation....Pages 125-136
Einstein Equations with 1 Parameter Spacelike Isometry Group....Pages 137-145
Lie Point Symmetries and Dynamical Systems....Pages 147-153
Symmetries of the Nonlinear Heat Equation....Pages 155-171
Symmetries of Time Dependent Hamiltonian Systems....Pages 173-179
Quasilinear Hyperbolic Systems: Reduction to Autonomous Form and Wave Propagation....Pages 181-189
Finite Difference Models Entirely Inheriting Symmetry of Original Differential Equations....Pages 191-201
Boundary Condition Invariance....Pages 203-208
Nonlinear Differential Equations, Lie Symmetries, and the Painlevé Test....Pages 209-215
Non-iterative Transformation Methods Equivalence....Pages 217-221
Reduction Procedures for a Class of Rate-Type Materials....Pages 223-229
Conditional Symmetries of the Equations of Mathematical Physics....Pages 231-239
Pseudopotential Symmetries for Integrable Evolution Equations....Pages 241-244
Isomorphism Verification for Complex and Real Lie Algebras by Gröbner Basis Technique....Pages 245-254
 sl (2, R ), Ermakov Systems and the Magnetic Monopole....Pages 255-264
Symmetries of Differential Equations on a Lattice. An Example: The Toda Lattice....Pages 265-272
Symmetries of Particle Lagrangians....Pages 273-276
The Group Analysis Algorithms....Pages 277-289
Potential Symmetries of Fokker-Planck Equations....Pages 291-298
Continuous Symmetries of Difference Equations....Pages 299-302
Integrable Mechanical Systems Invariant with Respect to the Action of the KDV Hierarchy....Pages 303-309
A Point Symmetry Group of a Differential Equation which cannot be Found Using Infinitesimal Methods....Pages 311-316
Ermakov Structure in 2 + 1-Dimensional Systems. Canonical Reduction....Pages 317-328
Symmetries of Second-Order Differential Equations and Decoupling....Pages 329-335
Algorithmic Methods for Lie Pseudogroups....Pages 337-344
A Special Class of Bäcklund Transformations for Certain Nonlinear Partial Differential Equations....Pages 345-352
Symmetry Groups of Balance Equations....Pages 353-365
On Equivalence Transformations Applied to a Non-Linear Wave Equation....Pages 367-375
An Efficiency Improved Program Liepde for Determining Lie-Symmetries of PDES....Pages 377-385
Conditional Symmetries and the Direct Reduction of Partial Differential Equations....Pages 387-393