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Publications Influence

Symmetries of Equations of Quantum Mechanics

- A. Nikitin, W. I. Fushchich, V. I. Fushchich
- Physics
- 1 September 1994

Table of

216 14- PDF

On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter

- W. I. Fushchich, W. Shtelen
- Physics
- 21 September 1989

The concept of approximate symmetry is introduced. The authors describe all nonlinearities F(u) with which the nonlinear wave equation Square Operator u+ lambda u3+ epsilon F(u)=0 with a small… Expand

110 10- PDF

On a reduction and solutions of nonlinear wave equations with broken symmetry

- W. I. Fushchich, I. M. Tsifra
- Physics
- 1 February 1987

A generalised definition for invariance of partial differential equations is proposed. Exact solutions of the equations with broken symmetry are obtained.

101 5

The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations

- W. I. Fushchich, N. I. Serov
- Physics
- 21 October 1983

Multiparametrical exact solutions of the many-dimensional nonlinear d'Alembert, Liouville, sine-Gordon and eikonal equations are obtained. The maximally extensive local invariance groups of the… Expand

79 5- PDF

On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system

- W. I. Fushchich, R. Zhdanov, I. A. Yegorchenko
- Mathematics
- 1 November 1991

Abstract The necessary conditions of the compatibility of the d'Alembert-Hamilton system in Minkowsky space R (1,n) are established. The problem of reduction of P(1, n)-invariant wave equations to… Expand

29 3- PDF

On some new exact solutions of the nonlinear d'Alembert-Hamilton system

- W. I. Fushchich, R. Zhdanov
- Physics
- 30 October 1989

Abstract Some new exact solutions of the d'Alembert-Hamilton system of partial differential equations are obtained. The necessary conditions of integrability of an over-determined d'Alembert-Hamilton… Expand

22 3- PDF

Symmetry and exact solutions of nonlinear spinor equations

- W. I. Fushchich, R. Zhdanov
- Physics
- 1989

Abstract This review is devoted to the application of algebraic-theoretical methods to the problem of constructing exact solutions of the many-dimensional nonlinear systems of partial differential… Expand

74 1- PDF

Reduction and exact solutions of the Navier-Stokes equations

- W. I. Fushchich, W. Shtelen, S. L. Slavutsky
- Mathematics
- 7 March 1991

The authors construct a complete set of G(1,3)-inequivalent ansatze of codimension 1 for the Navier-Stokes (NS) field which reduce the NS equations to systems of ordinary differential equations… Expand

31 1- PDF