Symmetries of Partial Differential Equations

Edited by A. M. Vinogradov

in Springer Books from Springer

Date: 1989
ISBN: 978-94-009-1948-8
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Chapters in this book:

Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results

A. M. Vinogradov

Symmetries and Conservation Laws of Kadomtsev—Pogutse Equations

V. N. Gusyatnikova, A. V. Samokhin, V. S. Titov, A. M. Vinogradov and V. A. Yumaguzhin

Symmetries and Conservation Laws of Navier—Stokes Equations

V. N. Gusyatnikova and V. A. Yumaguzhin

Symmetries, Invariant Solutions and Conservation Laws of the Nonlinear Acoustics Equation

N. O. Sharomet

Local Nonintegrability of Long—Short Wave Interaction Equations

A. M. Verbovetsky

On Symmetries and Conservation Laws of the Equations of Shallow Water with an Axisymmetric Profile of Bottom

V. S. Titov

On Symmetries of the Heat Equation

Yu. R. Romanovsky

Nonlocal Trends in the Geometry of Differential Equations: Symmetries, Conservation Laws, and Bäcklund Transformations

I. S. Krasil’shchik and A. M. Vinogradov

Exactly and Completely Integrable Nonlinear Dynamical Systems

A. N. Leznov and M. V. Saveliev

Recursion and Group Structures of Soliton Equations

B. G. Konopelchenko

Building of Mathematical Models of Continuum Media on the Basis of the Invariance Principle

V. O. Bytev

Efficiently Implementing Two Methods of the Geometrical Theory of Differential Equations: An Experience in Algorithm and Software Design

A. V. Bocharov and M. L. Bronstein

Computations in Differential and Difference Modules

E. V. Pankrat’ev

Reducing Systems of Linear Differential Equations to a Passive Form

V. L. Topunov

Software to Compute Infinitesimal Symmetries of Exterior Differenial Systems, with Applications

Paul H. M. Kersten

Lie Algebra Computations

P. K. H. Gragert

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DOI: 10.1007/978-94-009-1948-8

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