Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations

Yükleniyor...
Küçük Resim

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

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

Künye