J. Phys. I France
Volume 4, Numéro 5, May 1994
Page(s) 801 - 814
DOI: 10.1051/jp1:1994176
J. Phys. I France 4 (1994) 801-814

The semi-empirical construction of solitons using ordinary time-dependent nonlinear oscillations

E. Gluskin

Electrical Engineering Department, Ben-Gurion University of the Negev, Beer-Sheva, 84105 Israel and The Applied Electrical Engineering Program, The College of Judea and Samaria, Ariel, B.P. 3, Israel

(Received 29 October 1992, revised 20 December 1993, accepted 11 January 1994)

The soliton-type solutions of a nonlinear wave equation and some nonlinear oscillations described by an ordinary equation are considered and compared. A ` construction" of the solitons from the oscillatory pulses of a lumped, periodically driven Eectrical circuit, using additionally a given dispersion law of a physical medium is suggested, which leads te, some predictions regarding solitary waves and some interesting points for analysis.

© Les Editions de Physique 1994