A method for solving the generalized Camassa-Choi problem with the Mittag-Leffler function and temporal local derivative

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper focuses on a reduction technique to discover exact solutions for the generalized Camassa-Choi equation with temporal local M-derivative. The paper presents various types of exact solutions along with their corresponding first integrals. Furthermore, the interactions between the orders of alpha and beta in the M-derivative are taken into account and depicted graphically for the derived solutions. Remarkably, the paper demonstrates that in certain situations, exact solutions can be obtained for any value of n, which holds significant mathematical intrigue. The authors note that Nucci's reduction technique has not previously been employed for differential equations with M-derivative, to the best of their knowledge.

Açıklama

Anahtar Kelimeler

Nucci's reduction method, Local M-derivative, Generalized Camassa-Choi equation

Kaynak

Alexandria Engineering Journal

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

81

Sayı

Künye