Exact Solitary Wave Solution in the ZK-BBM Equation | Zendy

Juan Zhao | Zendy; Wei Li | Zendy

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Exact Solitary Wave Solution in the ZK-BBM Equation

Author(s) -

Juan Zhao,

Wei Li

Publication year - 2014

Publication title -

journal of nonlinear dynamics

Language(s) - English

Resource type - Journals

eISSN - 2356-7503

pISSN - 2314-6893

DOI - 10.1155/2014/468392

Subject(s) - phase portrait , ode , homoclinic orbit , bifurcation , homoclinic bifurcation , mathematical analysis , mathematics , nonlinear system , traveling wave , sinusoidal plane wave solutions of the electromagnetic wave equation , bifurcation diagram , physics , electromagnetic wave equation , quantum mechanics , magnetic field , optical field

The traveling wave solution for the ZK-BBM equation is considered, which is governed by a nonlinear ODE system. The bifurcation structure of fixed points and bifurcation phase portraits with respect to the wave speed c are analyzed by using the dynamical system theory. Furthermore, the exact solutions of the homoclinic orbits for the nonlinear ODE system are obtained which corresponds to the solitary wave solution curve of the ZK-BBM equation

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