Applying the New Extended Direct Algebraic Method to Solve the Equation of Obliquely Interacting Waves in Shallow Waters

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Tarih

2020

Dergi Başlığı

Dergi ISSN

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Yayıncı

Ocean Univ China

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study, the potential Kadomtsev-Petviashvili (pKP) equation, which describes the oblique interaction of surface waves in shallow waters, is solved by the new extended direct algebraic method. The results of the study show that by applying the new direct algebraic method to the pKP equation, the behavior of the obliquely interacting surface waves in two dimensions can be analyzed. This article fairly clarifies the behaviors of surface waves in shallow waters. In the literature, several mathematical models have been developed in attempt to study these behaviors, with nonlinear mathematics being one of the most important steps; however, the investigations are still at a level that can be called 'baby steps'. Therefore, every study to be carried out in this context is of great importance. Thus, this study will serve as a reference to guide scientists working in this field.

Açıklama

Anahtar Kelimeler

conformable fractional derivative, new extended direct algebraic method, interacting wave equation, shallow water waves

Kaynak

Journal of Ocean University of China

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

19

Sayı

4

Künye