A Modified Expansion Approach for Capturing Nonlinearity and Dispersion in the Benney

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Sinop Üniversitesi Fen Bilimleri Dergisi
Cilt: 10 Sayı: 2
A Modified Expansion Approach for Capturing Nonlinearity and Dispersion in the Benney–Luke Equation...

A Modified Expansion Approach for Capturing Nonlinearity and Dispersion in the Benney–Luke Equation

Pages : 410-428

View : 53 | Download : 275

Publication Date : 2025-12-24

Article Type : Research Paper

Abstract :This study investigates traveling wave solutions of the Benney–Luke equation, a higher-order dispersive model for shallow-water wave propagation. A modified expansion method combining an auxiliary function approach with Jacobi elliptic functions is proposed to obtain explicit analytical solutions. The derived solutions exhibit various wave forms depending on key parameters, and their accuracy is supported by numerical simulations. The results confirm the method’s effectiveness in capturing nonlinear and dispersive effects in shallow-water wave dynamics.
Keywords : Benney-Luke Denklemi, Seyreden Dalga Çözümleri, Modifiye Genişleme, Jacobi Eliptik Fonksiyonlar

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.