Homotopy perturbation method to obtain exact special solutions with solitary patterns for Boussinesq-like B(m,n) equations with fully nonlinear dispersion

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Physics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we studied the Boussinesq-like equations with fully nonlinear dispersion B(m,n) equations which exhibit solutions with solitary patterns. New exact solitary solutions of the equations are found. The two special cases, B(2,2) and B(3,3), are chosen to illustrate the concrete scheme of the homotopy perturbation method in B(m,n) equations. The nonlinear equations B(m,n) are addressed for two different cases, namely when m=n being odd and even integers. General formulas for the solutions of B(m,n) equations are established.

Açıklama

Anahtar Kelimeler

dispersion (wave), nonlinear equations, perturbation theory, solitons

Kaynak

Journal of Mathematical Physics

WoS Q Değeri

Q3

Scopus Q Değeri

Cilt

50

Sayı

2

Künye