Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation | Zendy

Shengqiang Tang | Zendy; Shu Xia | Zendy

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Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation

Author(s) -

Shengqiang Tang,

Shu Xia

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/547617

Subject(s) - mathematics , higgs boson , parametric statistics , traveling wave , bifurcation , mathematical analysis , field (mathematics) , periodic wave , uncountable set , dynamical systems theory , bifurcation theory , classical mechanics , physics , pure mathematics , nonlinear system , quantum mechanics , statistics , countable set

By using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All exact explicit parametric representations of the above waves are determined

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