M. A. Knyazev, “One- and two-soliton solutions of the Korteweg-de Vries equation in various coordinate systems”, PFMT, 2020, no. 2(43), 7

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 2(43), Pages 7–10 (Mi pfmt703)

PHYSICS

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

M. A. Knyazev

Belarusian National Technical University, Minsk

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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.

Received: 26.03.2020

Document Type: Article

UDC: 530.182

Language: Russian

Citation: M. A. Knyazev, “One- and two-soliton solutions of the Korteweg-de Vries equation in various coordinate systems”, PFMT, 2020, no. 2(43), 7–10

Citation in format AMSBIB

\Bibitem{Kny20}

\by M.~A.~Knyazev

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

\jour PFMT

\yr 2020

\issue 2(43)

\pages 7--10

\mathnet{http://mi.mathnet.ru/pfmt703}

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https://www.mathnet.ru/eng/pfmt/y2020/i2/p7

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