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

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

Proceedings of the International Workshop Acireale, Catania, Italy, October 27-31, 1992

By: Nail H. Ibragimov (Editor), M. Torrisi (Editor), A. Valenti (Editor)

Hardcover

Published: 30th September 1993
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This volume contains a selection of papers presented by leading scientists at the workshop on "Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics" held at Catania in Sicily, October 27-31, 1992. The 39 contributions presented embrace the following topics: Classical Lie groups applied to the construction of invariant solutions and conservation laws; conditional (partial) symmetries; Baecklund transformations; approximate symmetries; group analysis of finite-difference equations; problems of group classification and software packages in group analysis. Together this selection of papers provides reviews of many of the exciting developments in this rapidly expanding branch of applied mathematics. This work should appeal to researchers in mathematical physics and applied mathematics whose work involves group analysis and its applications.

Hidden and nonlocal symmetries of nonlinear differential equationsp. 1
Internal symmetries of differential equationsp. 7
Examples of completely integrable Bateman pairsp. 23
Group method analysis of the dispersion of gaseous pollutants in the presence of a temperature inversionp. 35
Applications of the generalized symmetry methodp. 43
Conformal invariance, Huygens principle and fundamental solutions for scalar second order hyperbolic equationsp. 55
Potential symmetries and equivalent conservation lawsp. 71
Some remarks on a class of ordinary differential equations: the Riccati propertyp. 85
Differential-algebraic and differential-geometric approach to the study of involutive symbolsp. 93
The bihamiltonian approach to integrable systemsp. 101
Conservation laws in dissipative solidsp. 111
Exact solutions of the Boltzmann equationp. 125
Einstein equations with 1 parameter spacelike isometry groupp. 137
Lie Point symmetries and dynamical systemsp. 147
Symmetries of the nonlinear heat equationp. 155
Symmetries of time dependent Hamiltonian systemsp. 173
Quasilinear hyperbolic systems: reduction to autonomous form and wave propagationp. 181
Finite difference models entirely inheriting symmetry of original differential equationsp. 191
Boundary condition invariancep. 203
Nonlinear differential equations, Lie symmetries, and the Painleve testp. 209
Non-iterative transformation methods equivalencep. 217
Reduction procedures for a class of rate-type materialsp. 223
Conditional symmetries of the equations of Mathematical Physicsp. 231
Pseudopotential symmetries for integrable evolution equationsp. 241
Isomorphism verification for complex and real Lie algebras by Grobner basis techniquep. 245
sl(2, R), Ermakov systems and the magnetic monopolep. 255
Symmetries of differential equations on a lattice. An example: the Toda Latticep. 265
Symmetries of particle Lagrangiansp. 273
The group analysis algorithmsp. 277
Potential symmetries of Fokker-Planck equationsp. 291
Continuous symmetries of difference equationsp. 299
Integrable mechanical systems invariant with respect to the action of the KdV hierarchyp. 303
A point symmetry group of a differential equation which cannot be found using infinitesimal methodsp. 311
Ermakov structure in 2 + 1-dimensional systems. Canonical reductionp. 317
Symmetries of second-order differential equations and decouplingp. 329
Algorithmic methods for Lie pseudogroupsp. 337
A special class of Backlund transformations for certain nonlinear partial differential equationsp. 345
Symmetry groups of balance equationsp. 353
On equivalence transformations applied to a non-linear wave equationp. 367
An efficiency improved program LIEPDE for determining Lie-symmetries of PDEsp. 377
Conditional symmetries and the direct reduction of partial differential equationsp. 387
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792324805
ISBN-10: 0792324803
Series: DIVS-Diverse Ser. : Book 14
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 393
Published: 30th September 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 16.51  x 3.18
Weight (kg): 0.89