Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics
Editor
- N. H. Ibragimov(University of Catania, Department of Mathematics)M. Torrisi(University of Catania, Department of Mathematics)A. Valenti(University of Catania, Department of Mathematics)
Abstract
No abstract is available for this item.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), 1993. "Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics," Springer Books, Springer, number 978-94-011-2050-0, January.
Handle: RePEc:spr:sprbok:978-94-011-2050-0
DOI: 10.1007/978-94-011-2050-0
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Book Chapters
The following chapters of this book are listed in IDEAS- B. Abraham-Shrauner & A. Guo, 1993. "Hidden and Nonlocal Symmetries of Nonlinear Differential Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 1-5, Springer.
- Ian Anderson & Niky Kamran & Peter J. Olver, 1993. "Internal Symmetries of Differential Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 7-21, Springer.
- Robert L. Anderson & Piotr W. Hebda & Guy Rideau, 1993. "Examples of Completely Integrable Bateman Pairs," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 23-33, Springer.
- N. A. Badran & M. B. Abd-El-Malek, 1993. "Group Method Analysis of the Dispersion of Gaseous Pollutants in the Presence of a Temperature Inversion," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 35-41, Springer.
- G. Baumann, 1993. "Applications of the Generalized Symmetry Method," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 43-53, Springer.
- Yu. Yu. Berest & N. H. Ibragimov & A. O. Oganesyan, 1993. "Conformal Invariance, Huygens Principle and Fundamental Solutions for Scalar Second Order Hyperbolic Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 55-69, Springer.
- George Bluman, 1993. "Potential Symmetries and Equivalent Conservation Laws," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 71-84, Springer.
- Sandra Carillo & Benno Fuchssteiner, 1993. "Some Remarks on A Class of Ordinary Differential Equations: The Riccati Property," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 85-92, Springer.
- Giuseppa Carrà-Ferro & Sergei V. Duzhin, 1993. "Differential-Algebraic and Differential-Geometric Approach to the Study of Involutive Symbols," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 93-99, Springer.
- Paolo Casati & Franco Magri & Marco Pedroni, 1993. "The Bihamiltonian Approach to Integrable Systems," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 101-110, Springer.
- Giacomo Caviglia & Angelo Morro, 1993. "Conservation Laws in Dissipative Solids," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 111-123, Springer.
- C. Cercignani, 1993. "Exact Solutions of the Boltzmann Equation," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 125-136, Springer.
- Yvonne Choquet-Bruhat, 1993. "Einstein Equations with 1 Parameter Spacelike Isometry Group," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 137-145, Springer.
- G. Cicogna, 1993. "Lie Point Symmetries and Dynamical Systems," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 147-153, Springer.
- Peter A. Clarkson & Elizabeth L. Mansfield, 1993. "Symmetries of the Nonlinear Heat Equation," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 155-171, Springer.
- A. Dewisme & S. Bouquet & P. G. L. Leach, 1993. "Symmetries of Time Dependent Hamiltonian Systems," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 173-179, Springer.
- Andrea Donato & Francesco Oliveri, 1993. "Quasilinear Hyperbolic Systems: Reduction to Autonomous Form and Wave Propagation," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 181-189, Springer.
- V. A. Dorodnitsyn, 1993. "Finite Difference Models Entirely Inheriting Symmetry of Original Differential Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 191-201, Springer.
- M. J. Englefield, 1993. "Boundary Condition Invariance," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 203-208, Springer.
- N. Euler & W.-H. Steeb, 1993. "Nonlinear Differential Equations, Lie Symmetries, and the Painlevé Test," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 209-215, Springer.
- Riccardo Fazio, 1993. "Non-iterative Transformation Methods Equivalence," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 217-221, Springer.
- D. Fusco & N. Manganaro, 1993. "Reduction Procedures for a Class of Rate-Type Materials," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 223-229, Springer.
- Wilhelm Fushchych, 1993. "Conditional Symmetries of the Equations of Mathematical Physics," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 231-239, Springer.
- F. Galas, 1993. "Pseudopotential Symmetries for Integrable Evolution Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 241-244, Springer.
- V. P. Gerdt & W. Lassner, 1993. "Isomorphism Verification for Complex and Real Lie Algebras by Gröbner Basis Technique," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 245-254, Springer.
- P. G. L. Leach, 1993. "sl(2, R), Ermakov Systems and the Magnetic Monopole," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 255-264, Springer.
- Decio Levi & Pavel Winternitz, 1993. "Symmetries of Differential Equations on a Lattice. An Example: The Toda Lattice," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 265-272, Springer.
- F. M. Mahomed & A. H. Kara & P. G. L. Leach, 1993. "Symmetries of Particle Lagrangians," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 273-276, Springer.
- L. V. Ovsiannikov, 1993. "The Group Analysis Algorithms," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 277-289, Springer.
- Edvige Pucci & Giuseppe Saccomandi, 1993. "Potential Symmetries of Fokker-Planck Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 291-298, Springer.
- G. R. W. Quispel & R. Sahadevan, 1993. "Continuous Symmetries of Difference Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 299-302, Springer.
- S. Rauch-Wojciechowski, 1993. "Integrable Mechanical Systems Invariant with Respect to the Action of the KDV Hierarchy," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 303-309, Springer.
- G. J. Reid & D. T. Weih & A. D. Wittkopf, 1993. "A Point Symmetry Group of a Differential Equation which cannot be Found Using Infinitesimal Methods," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 311-316, Springer.
- C. Rogers & C. Hoenselaers & U. Ramgulam, 1993. "Ermakov Structure in 2 + 1-Dimensional Systems. Canonical Reduction," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 317-328, Springer.
- W. Sarlet & E. Martínez, 1993. "Symmetries of Second-Order Differential Equations and Decoupling," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 329-335, Springer.
- Joachim Schü & Werner M. Seiler & Jacques Calmet, 1993. "Algorithmic Methods for Lie Pseudogroups," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 337-344, Springer.
- C. Sophocleous, 1993. "A Special Class of Bäcklund Transformations for Certain Nonlinear Partial Differential Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 345-352, Springer.
- Erdoğan S. Şuhubi, 1993. "Symmetry Groups of Balance Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 353-365, Springer.
- M. Torrisi & R. Tracinà & A. Valenti, 1993. "On Equivalence Transformations Applied to a Non-Linear Wave Equation," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 367-375, Springer.
- Thomas Wolf, 1993. "An Efficiency Improved Program Liepde for Determining Lie-Symmetries of PDES," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 377-385, Springer.
- S. Zidowitz, 1993. "Conditional Symmetries and the Direct Reduction of Partial Differential Equations," Springer Books, in: N. H. Ibragimov & M. Torrisi & A. Valenti (ed.), Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, pages 387-393, Springer.
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