Solitary wave, undular-bore and wave-maker solutions of the cubic, quartic and quintic nonlinear generalized equal width (GEW) wave equation
Ali Bashan
article (Uluslararası, Hakemli) | Yazar(lar): Ali Bashan | Yıl: 2023 | Dergi/Kurum: EUROPEAN PHYSICAL JOURNAL PLUS | İndeks: WOS.SCI | DOI: 10.1140/epjp/s13360-023-03648-4 — Özet: Solitary wave solutions of the generalized equal width (GEW) wave equation are existing in the literature but undular-bore and wave-maker so
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 t = 10,000. The error norms, the three invariants are calculated and compared with some of the earlier works. The rate of the convergence is also reported.