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Volume 1 / 1983 - Volume 117 / 2012
Algebras and Geometry of PDEs - A special issue dedicated to the 60th anniversary of Valentin Lychagin
Guest Editors: Iosif Krasil'shchik and B. Kruglikov
1-3
Valentin Lychagin—A Dedication
Iosif Krasil’shchik and Boris Kruglikov
5-19
Contact Relative Differential Invariants for Non Generic Parabolic Monge-Ampère Equations
R. Alonso Blanco, Gianni Manno and Fabrizio Pugliese
21-38
Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws
Stephen Anco, George Bluman and Thomas Wolf
39-51
On Decomposition of Algebraic PDE Systems into Simple Subsystems
Vladimir P. Gerdt
53-57
On Grassmannizable Group 3-Webs
Vladislav V. Goldberg and Alexander M. Shelekhov
59-83
On Integrability of the Camassa–Holm Equation and Its Invariants A Geometrical Approch
V. Golovko, P. Kersten, I. Krasil’shchik and A. Verbovetsky
85-104
Noncommutative Dynamical Models with Quantum Symmetries
Antoine Dutriaux and Dimitri Gurevich
105-119
Global Geometry of Planary 3-Body Motions
Wu-Yi Hsiang and Eldar Straume
121-132
Classical and Exceptional Root Systems and Quantizations
Hilja L. Huru
133-143
Stochastic Relations and the Problem of Prior in the Principle of Maximum Entropy
Per K. Jakobsen and V. V. Lychagin
145-161
Symmetry Approaches for Reductions of PDEs, Differential Constraints and Lagrange-Charpit Method
Boris Kruglikov
163-176
Contact Symmetries and Variational PDE’s
Demeter Krupka and Olga Krupková
177-189
A Contact Linearization Problem for Monge-Ampère Equations and Laplace Invariants
Alexei G. Kushner
191-204
Phase Spaces and Deformation Theory
Olav Arnfinn Laudal
205-213
On Local Integrability Conditions of Jet Groupoids
Arne Lorenz
215-229
Geometric Aspects of Higher Order Variational Principles on Submanifolds
Gianni Manno and Raffaele Vitolo
231-241
Cartan’s Structure Theory of Symmetry Pseudo-Groups, Coverings and Multi-Valued Solutions for the Khokhlov–Zabolotskaya Equation
Oleg I. Morozov
243-254
On the Higher Poisson Structures of the Camassa–Holm Hierarchy
Giovanni Ortenzi, Marco Pedroni and Vladimir Rubtsov
255-263
On the Painlevé Property of Isomonodromic Deformations of Fuchsian Systems
Vladimir Poberezhny
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