Articles with "dimensional konopelchenko" as a keyword



Solitons for the (2+1)-dimensional Konopelchenko–Dubrovsky equations

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Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.11.024

Abstract: Abstract In this paper, we investigate the ( 2 + 1 )-dimensional Konopelchenko–Dubrovsky equations. Via the Sato theory and Hirota method, we present the soliton solutions in terms of the Gram determinant which can yield… read more here.

Keywords: konopelchenko dubrovsky; depression solitons; solitons two; dubrovsky equations ... See more keywords

Dynamical behavior of solitons of the (2+1)-dimensional Konopelchenko Dubrovsky system

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Published in 2024 at "Scientific Reports"

DOI: 10.1038/s41598-023-46593-z

Abstract: Utilizing nonlinear evolution equations (NEEs) is common practice to establish the fundamental assumptions underlying natural phenomena. This paper examines the weakly dispersed non-linear waves in mathematical physics represented by the Konopelchenko-Dubrovsky (KD) equations. The $$(G^\prime… read more here.

Keywords: dimensional konopelchenko; dubrovsky system; behavior solitons; solitons dimensional ... See more keywords