Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations

Teoman Özer*

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16 Atıf (Scopus)

Özet

Symmetry group properties and similarity solutions of the variant nonlinear long-wave equations in the form of system of nonlinear partial differential equations are analyzed. Lie symmetry group analysis of the variant nonlinear long-wave equations presents that the system has only two-parameter point symmetry group that corresponds to only traveling wave solutions. The symmetry groups yield the general reduced similarity form of the system, which is in the system of nonlinear ordinary differential equations. By using the improved tanh method the similarity solutions are obtained from the reduced system of equations. In addition, some graphical representations of the solitary and periodic solutions are presented.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)722-730
Sayfa sayısı9
DergiChaos, Solitons and Fractals
Hacim38
Basın numarası3
DOI'lar
Yayın durumuYayınlandı - Kas 2008

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