Travelling wave solutions of the non-linear wave equations

• Autorzy: Haider Jamil A. , Rahman Jamshaid U. , Zaman Fiazud D. , Gul Sana

Identyfikatory

DOI

10.2478/ama-2023-0027

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

nonlinear evolution problems; coupled equations; Jacobi elliptic functions; periodic solutions

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2023
• Tom: Vol. 17, no. 2
• Strony: 239--245
• Opis fizyczny: Bibliogr. 42 poz., tab.

Twórcy

autor

Haider Jamil A.

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0002-7008-8576

autor

Rahman Jamshaid U.

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0001-8642-0660

autor

Zaman Fiazud D.

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0002-6498-0664

autor

Gul Sana

• Abdus Salam School of Mathematical Sciences, Government College University, 68-B, New MuslimTown, Lahore 54600, Pakistan

• https://orcid.org/0000-0002-5075-2599

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).