Article ID Journal Published Year Pages File Type
837726 Nonlinear Analysis: Real World Applications 2010 8 Pages PDF
Abstract

In this paper, a partial differential equation is investigated by using the bifurcation theory and the method of phase portraits analysis, the existence of loop soliton, peakon, generalized compacton, smooth and non-smooth periodic waves, breaking kink and anti-kink waves is proved. In different regions of the parametric space, the sufficient conditions to guarantee the existence of the above solutions are given. In some conditions, exact parametric representations of these waves in explicit and implicit forms are obtained.

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Physical Sciences and Engineering Engineering Engineering (General)
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