Vinogradov A.M. (Ed.) Symmetries of Partial Differential Equations: Conservation Laws - Applications - Algorithms

Kluwer Academic Publishers, 1989. — 454 p. — ISBN13: 978-94-010-7370-7.This special double issue of Acta Applicandae Mathematicae and two further issues to appear in the future, are devoted to recent developments in the theory of symmetries and conservation laws for general systems of partial differential equations.Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results
Symmetries and Conservation Laws of Kadomtsev-Pogutse Equations (Their computation and first applications)
Symmetries and Conservation Laws of Navier-Stokes Equations
Symmetries, Invariant Solutions and Conservation Laws of the Nonlinear Acoustics Equation
Local Nonintegrability of Long-Short Wave Interaction Equations
On Symmetries and Conservation Laws of the Equations of Shallow
Water with an Axisymmetric Profile of Bottom
On Symmetries of the Heat Equation
Nonlocal Trends in the Geometry of Differential Equations: Symmetries, Conservation Laws, and Backlund Transformations
Exactly and Completely Integrable
Nonlinear Dynamical Systems
Recursion and Group Structures of Soliton Equations
Building of Mathematical Models of Continuum Media on the
Basis of the Invariance Principle
Efficiently Implementing Two Methods of the Geometrical Theory of Differential Equations: An Experience in Algorithm and Software Design
Computations in Differential and Difference Modules
Reducing Systems of Linear Differential Equations to a Passive
Software to Compute Infinitesimal Symmetries of Exterior Differential Systems, with Applications
Lie Algebra Computations