edited by A.M. Vinogradov Reprinted from ACTA APPLICANDAE MATHEMATICAE, 15:1/2;
16:1-2 Kluwer Academic Publishers, Dordrecht

Hardbound, ISBN 0-7923-0594-9
January 1990, 464 pp.
NLG 466.00 / USD 280.00 / GBP 181.95 Contents

Part I

A. M. Vinogradov, Symmetries and conservation laws of partial
differential equations: basic notions and results (pp. 3--21);

V. N. Gusyatnikova, A. V. Samokhin, V. S. Titov, A. M. Vinogradov
and V. A. Yumaguzhin, Symmetries and conservation laws of
Kadomtsev-Pogutse equations (their computation and first applications)
(pp. 23--64);

V. N. Gusyatnikova and V. A. Yumaguzhin, Symmetries and
conservation laws of Navier-Stokes equations (pp. 65--81);

N. O. Sharomet, Symmetries, invariant solutions and conservation
laws of the nonlinear acoustics equation (pp. 83--120);

A. M. Verbovetsky, Local nonintegrability
of long-short wave interaction equations (pp. 121--136);

V. S. Titov, On symmetries and conservation laws of the equations
of shallow water with an axisymmetric profile of bottom (pp. 137--147);

Yu. R. Romanovsky, On symmetries of the heat
equation (pp. 149--160);

I. S. Krasilshchik and A. M. Vinogradov, Nonlocal trends in the
geometry of differential equations: symmetries, conservation laws,
and Backlund transformations (pp. 161--209).

Part II

A. N. Leznov and M. V. Saveliev, Exactly and
completely integrable nonlinear dynamical systems (pp. 1--74);

B. G. Konopelchenko, Recursion and group structures of soliton
equations (pp. 75--116);

V. O. Bytev, Building of mathematical models of continuum media
on the basis of the invariance principle (pp. 117--142).

Part III

A. V. Bocharov and M. L. Bronstein, Efficiently
implementing two methods of the geometrical theory of differential
equations: an experience in algorithm and software design (pp. 143--166);

E. V. Pankratev, Computations in differential and difference
modules (pp. 167--189);

V. L. Topunov, Reducing systems of linear differential equations
to a passive form (pp. 191--206);

Paul H. M. Kersten, Software to compute infinitesimal symmetries
of exterior differential systems, with applications (pp. 207--229);

P. K. H. Gragert, Lie algebra computations (pp. 231--242).