Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

Ibragimov, N. H.; Torrisi, M.; Valenti, A.

Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

Edited by N. H. Ibragimov, M. Torrisi and A. Valenti

in Springer Books from Springer

Date: 1993
ISBN: 978-94-011-2050-0
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Chapters in this book:

Hidden and Nonlocal Symmetries of Nonlinear Differential Equations: B. Abraham-Shrauner and A. Guo
Internal Symmetries of Differential Equations: Ian Anderson, Niky Kamran and Peter J. Olver
Examples of Completely Integrable Bateman Pairs: Robert L. Anderson, Piotr W. Hebda and Guy Rideau
Group Method Analysis of the Dispersion of Gaseous Pollutants in the Presence of a Temperature Inversion: N. A. Badran and M. B. Abd-El-Malek
Applications of the Generalized Symmetry Method: G. Baumann
Conformal Invariance, Huygens Principle and Fundamental Solutions for Scalar Second Order Hyperbolic Equations: Yu. Yu. Berest, N. H. Ibragimov and A. O. Oganesyan
Potential Symmetries and Equivalent Conservation Laws: George Bluman
Some Remarks on A Class of Ordinary Differential Equations: The Riccati Property: Sandra Carillo and Benno Fuchssteiner
Differential-Algebraic and Differential-Geometric Approach to the Study of Involutive Symbols: Giuseppa Carrà-Ferro and Sergei V. Duzhin
The Bihamiltonian Approach to Integrable Systems: Paolo Casati, Franco Magri and Marco Pedroni
Conservation Laws in Dissipative Solids: Giacomo Caviglia and Angelo Morro
Exact Solutions of the Boltzmann Equation: C. Cercignani
Einstein Equations with 1 Parameter Spacelike Isometry Group: Yvonne Choquet-Bruhat
Lie Point Symmetries and Dynamical Systems: G. Cicogna
Symmetries of the Nonlinear Heat Equation: Peter A. Clarkson and Elizabeth L. Mansfield
Symmetries of Time Dependent Hamiltonian Systems: A. Dewisme, S. Bouquet and P. G. L. Leach
Quasilinear Hyperbolic Systems: Reduction to Autonomous Form and Wave Propagation: Andrea Donato and Francesco Oliveri
Finite Difference Models Entirely Inheriting Symmetry of Original Differential Equations: V. A. Dorodnitsyn
Boundary Condition Invariance: M. J. Englefield
Nonlinear Differential Equations, Lie Symmetries, and the Painlevé Test: N. Euler and W.-H. Steeb
Non-iterative Transformation Methods Equivalence: Riccardo Fazio
Reduction Procedures for a Class of Rate-Type Materials: D. Fusco and N. Manganaro
Conditional Symmetries of the Equations of Mathematical Physics: Wilhelm Fushchych
Pseudopotential Symmetries for Integrable Evolution Equations: F. Galas
Isomorphism Verification for Complex and Real Lie Algebras by Gröbner Basis Technique: V. P. Gerdt and W. Lassner
sl(2, R), Ermakov Systems and the Magnetic Monopole: P. G. L. Leach
Symmetries of Differential Equations on a Lattice. An Example: The Toda Lattice: Decio Levi and Pavel Winternitz
Symmetries of Particle Lagrangians: F. M. Mahomed, A. H. Kara and P. G. L. Leach
The Group Analysis Algorithms: L. V. Ovsiannikov
Potential Symmetries of Fokker-Planck Equations: Edvige Pucci and Giuseppe Saccomandi
Continuous Symmetries of Difference Equations: G. R. W. Quispel and R. Sahadevan
Integrable Mechanical Systems Invariant with Respect to the Action of the KDV Hierarchy: S. Rauch-Wojciechowski
A Point Symmetry Group of a Differential Equation which cannot be Found Using Infinitesimal Methods: G. J. Reid, D. T. Weih and A. D. Wittkopf
Ermakov Structure in 2 + 1-Dimensional Systems. Canonical Reduction: C. Rogers, C. Hoenselaers and U. Ramgulam
Symmetries of Second-Order Differential Equations and Decoupling: W. Sarlet and E. Martínez
Algorithmic Methods for Lie Pseudogroups: Joachim Schü, Werner M. Seiler and Jacques Calmet
A Special Class of Bäcklund Transformations for Certain Nonlinear Partial Differential Equations: C. Sophocleous
Symmetry Groups of Balance Equations: Erdoğan S. Şuhubi
On Equivalence Transformations Applied to a Non-Linear Wave Equation: M. Torrisi, R. Tracinà and A. Valenti
An Efficiency Improved Program Liepde for Determining Lie-Symmetries of PDES: Thomas Wolf
Conditional Symmetries and the Direct Reduction of Partial Differential Equations: S. Zidowitz

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DOI: 10.1007/978-94-011-2050-0

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