Abstract
This paper studies a nonlinear partial differential equation governing wave propagation in nonlinear low-pass electrical transmission. A travelling wave transformation is used to convert this equation into a 2D dynamical system which is proved to be a Hamiltonian system. Based on qualitative theory of the dynamical systems, a comprehensive qualitative study of bifurcation and phase portrait for this system is carried. We construct some new traveling wave solutions and they are graphically clarified.
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