Bifurcations of traveling wave solutions in a microstructured solid model

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Original languageEnglish
Article number1350009
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number1
Publication statusPublished - Jan 2013


The traveling wave system of a microstructured solid model belongs to the second class of singular traveling wave equations studied in [Li et al., 2009]. In this paper, by using methods from dynamical systems theory, bifurcations of phase portraits of such a traveling wave system are analyzed in its corresponding parameter space. The existence of kink wave solutions and uncountably infinitely many bounded solutions is proved. Moreover, the exact parametric representations of periodic solutions and homoclinic orbits are obtained. © 2013 World Scientific Publishing Company.

Research Area(s)

  • bifurcation, breaking wave solution, Kink wave solution, micro-structured solid model, periodic wave solution, second class of singular traveling wave system