Fractional generalized perturbed KdV equation with a power Law kernel: A computational study

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, we analyze the nonlinear generalized perturbed KdV equation using the Shehu transform and decomposition approach to obtain solutions. Multiple cases with appropriate initial conditions demonstrate the procedure's effectiveness and validity, with excellent agreements noted. Simulations reveal three distinct solutions: one bright-soliton, two wave solutions, and dark -bright soliton solutions. Fractional order significantly impacts wave amplitudes and nonlinearity characteristics, affecting system excitations. These findings offer insights into complex behaviors, with potential applications in fluid dynamics, nonlinear optics, and plasma physics, guiding experimental design and system analysis.

Açıklama

Anahtar Kelimeler

Perturbed kdV, Shehu transform, Dark-bright soliton

Kaynak

Results in Control and Optimization

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

12

Sayı

Künye