Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
Yükleniyor...
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific nonlinear waves are converted to a number of systems of ordinary differential equations (ODEs) such that the resulting systems can be efficiently handled by computer algebra systems. As an accomplishment, the performance of the well-designed ISS in extracting a group of exact solutions is formally confirmed. In the end, the stability analysis for the NLWWE is investigated through the linear stability scheme.
Açıklama
Anahtar Kelimeler
Nonlinear water wave equations, Invariant subspace scheme, Exact solutions, Stability analysis
Kaynak
Journal of Ocean Engineering and Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
5
Sayı
1