Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms

Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms / edited by A.M. Vinogradov.

2 The authors of these issues involve not only mathematicians, but also speci­ alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and approaches to the considered field. A. M. VINOGRADOV 3 Acta Applicandae Mathematicae 15: 3-21, 1989. © 1989...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Vinogradov, A.M (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1989.
Edition:1st ed. 1989.
Series:Springer eBook Collection.
Subjects:
Partial differential equations.
Differential geometry.
Mathematical physics.
Topological groups.
Lie groups.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I (Acta Appl. Math. 15, 1–210)
  • 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 Bäcklund Transformations
  • II (Acta Appl Math. 16, 1–142)
  • 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
  • III (Acta Appl. Math. 16,143–242)
  • 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 Form
  • Software to Compute Infinitesimal Symmetries of Exterior Differential Systems, with Applications
  • Lie Algebra Computations.

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