- Tytuł:
- Travelling wave solutions of the non-linear wave equations
- Autorzy:
-
Haider, Jamil A.
Rahman, Jamshaid U.
Zaman, Fiazud D.
Gul, Sana - Powiązania:
- https://bibliotekanauki.pl/articles/2204690.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
nonlinear evolution problems
coupled equations
Jacobi elliptic functions
periodic solutions - Opis:
- This article focuses on the exact periodic solutions of nonlinear wave equations using the well-known Jacobi elliptic function expansion method. This method is more general than the hyperbolic tangent function expansion method. The periodic solutions are found using this method which contains both solitary wave and shock wave solutions. In this paper, the new results are computed using the closed-form solution including solitary or shock wave solutions which are obtained using Jacobi elliptic function method. The corresponding solitary or shock wave solutions are compared with the actual results. The results are visualised and the periodic behaviour of the solution is described in detail. The shock waves are found to break with time, whereas, solitary waves are found to be improved continuously with time.
- Źródło:
-
Acta Mechanica et Automatica; 2023, 17, 2; 239--245
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł