Bifurcations and parametric representations of travelingwave solutions for the Green-Naghdi equations | Zendy

Shengqiang Tang | Zendy

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Bifurcations and parametric representations of travelingwave solutions for the Green-Naghdi equations

Author(s) -

Shengqiang Tang

Publication year - 2013

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1203-8

Subject(s) - mathematics , parametric statistics , traveling wave , bifurcation , mathematical analysis , dynamical systems theory , bifurcation theory , nonlinear system , physics , statistics , quantum mechanics

By using the bifurcation theory of dynamical systems to study the dynamical behavior of the Green-Naghdi equations, the existence of solitary wave solutions along with smooth periodic traveling wave solutions is obtained. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact and explicit parametric representations of traveling wave solutions are constructed. © Tübi̇tak.

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