Geodesic
One- and two-soliton solutions of the Korteweg-de Vries equation in various coordinate systems
Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 7-10

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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, two-soliton solution, Hirota direct method.
Mots-clés : one-soliton solution 
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     author = {M. A. Knyazev},
     title = {One- and two-soliton solutions of the {Korteweg-de} {Vries} equation in various coordinate systems},
     journal = {Problemy fiziki, matematiki i tehniki},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_2_a0/}
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M. A. Knyazev. One- and two-soliton solutions of the Korteweg-de Vries equation in various coordinate systems. Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 7-10. http://geodesic.mathdoc.fr/item/PFMT_2020_2_a0/