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).
- 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).
- 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).