Boussinesq-Like Equations: A Class of Soliton Solutions Occurs in Coastal and Ocean Engineering

Dilara A. Koç, Hajar F. Ismael, Hasan Bulut, Nehad Ali Shah, Shams Forruque Ahmed and Erhan Güler

Journal of Mathematics, 2024, vol. 2024, 1-11

Abstract: The Boussinesq equation describes water with small amplitudes and long waves, which is one of the most famous nonlinear evolution equations. Boussinesq-type equations have become crucial for predicting wave transformations in coastal areas since dispersion, time dependence, and weak nonlinearity terms are included in the equation. Here, the Boussinesq-like equations by using the m+1/G′-expansion approach are investigated. In this work, we try to offer complexiton solutions to the studied types of Boussinesq equations and reveal the efficiency of this method to construct soliton solutions. The exact solutions for the Boussinesq-like equations, including spatiotemporal dispersion, are computed using this method. Complexiton traveling wave solutions in the forms of kink, singular, periodic, and periodic-lump are obtained through calculations. The graphs of these solutions are drawn and analyzed to better understand and analyze these gained solutions. Moreover, the existence of all solutions is verified, and to our knowledge, the solutions are novel.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2024/8705563.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2024/8705563.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8705563

DOI: 10.1155/jom/8705563

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().