- Tytuł:
- On different kinds of solutions to simplified modified form of a Camassa-Holm equation
- Autorzy:
-
Gündoğdu, Hami
Gözükızıl, Ömer Faruk - Powiązania:
- https://bibliotekanauki.pl/articles/122718.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Camassa-Holm equation
sn-ns method
elliptic functions
hyperbolic function
trigonometric functions
periodic
kink solution
równanie Camassa-Holma
metoda sn-ns
funkcja eliptyczna
funkcja hiperboliczna
funkcja trygonometryczna - Opis:
- 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.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 31-40
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł