https://doi.org/10.1140/epjp/s13360-023-04831-3
Regular Article
New periodic-wave, periodic-cross-kink wave, three wave and other analytical wave solitons of new (2+1)-dimensional KdV equation
1
Department of Mathematics, CUI, Vehari Campus, Vehari, Pakistan
2
Department of Mathematics and Statistics, Institute of Southern Punjab, Multan, Pakistan
3
College of Computer, Jiangxi University of Chinese Medicine, 330004, Jiangxi, China
b
asimzafar@hotmail.com
c
395625298@qq.com
Received:
14
July
2023
Accepted:
24
December
2023
Published online:
16
January
2024
This research is concerned to some modernistic solutions of new (2+1)-dimensional Korteweg–de Vries equation. The collected solutions can be executed in exposing of this model in prominent form. The obtained results including the new periodic-wave, new periodic-cross-kink wave, new three wave and other analytical wave solitons. Verification of achieved results are also done with the use of Mathematica and Maple tools. Four different techniques named as; Hirota bilinear, function, extended sinh-Gordon equation expansion and modified simplest equation techniques are employed to protect the results. The achieved results are also illustrated by 2-D, 3-D and contour plots. The gained results can also be fruitful for the development of model in future.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.