https://doi.org/10.1140/epjp/s13360-023-03648-4
Regular Article
Solitary wave, undular-bore and wave-maker solutions of the cubic, quartic and quintic nonlinear generalized equal width (GEW) wave equation
Department of Mathematics, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey
Received:
20
July
2022
Accepted:
24
December
2022
Published online:
20
January
2023
Solitary wave solutions of the generalized equal width (GEW) wave equation are existing in the literature but undular-bore and wave-maker solutions are not obtained before. To be able to contribute to the scientific area, besides the improved numerical solitary wave solutions, undular-bore and wave-maker solutions of the GEW equation are obtained successfully. Especially to observe the behavior of the undular-bore solutions of the GEW equation, simulations are run for very long time 
. The error norms, the three invariants are calculated and compared with some of the earlier works. The rate of the convergence is also reported.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
