M. A. Knyazev, “One- and two-soliton solutions of the Korteweg-de Vries equation in various coordinate systems”, PFMT, 2020, Issue 2(43),Pages <nobr>7

PHYSICS

One- and two-soliton solutions of the Korteweg-de Vries equation in various coordinate systems

M. A. Knyazev

Belarusian National Technical University, Minsk

Abstract: The Korteweg-de Vries equation is considered in the two systems of coordinates: in a rest system and in a system moving with some velocity. One- and two-soliton solutions for the both equations are presented and analyzed.

Keywords: Korteweg-de Vries equation, one-soliton solution, two-soliton solution, Hirota direct method.

UDC: 530.182

Received: 26.03.2020