On different kinds of solutions to simplified modified form of a Camassa-Holm equation

• Autorzy: Gündoğdu Hami , Gözükızıl Ömer Faruk

Identyfikatory

DOI

10.17512/jamcm.2019.2.03

• Języki publikacji: EN

Abstrakty

EN

In this research, our purpose is to investigate some types of solutions to a simplified modified form of the Camassa-Holm equation. The Jacobi elliptic function expansion method is applied to this equation. Then, a lot of travelling wave solutions are obtained. The derived solutions are in the form of Jacobi elliptic functions, hyperbolic functions, and trigonometric functions. Graphics of solutions are drawn in order to determine the types of the solutions. Furthermore, different kinds of solutions such as the singular kink wave solution, the kink wave solution, and the periodic solution are achieved.

Słowa kluczowe

EN

Camassa-Holm equation; sn-ns method; elliptic functions; hyperbolic function; trigonometric functions; periodic; kink solution

PL

równanie Camassa-Holma; metoda sn-ns; funkcja eliptyczna; funkcja hiperboliczna; funkcja trygonometryczna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2019
• Tom: Vol. 18, nr 2
• Strony: 31--40
• Opis fizyczny: Bibliogr. 29 poz., rys.

Twórcy

autor

Gündoğdu Hami

• Sakarya University, Sakarya, Turkey

autor

Gözükızıl Ömer Faruk

• Sakarya University, Sakarya, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).