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Zbl 1143.74033
Li, Jibin; Zhang, Yi
Exact travelling wave solutions in a nonlinear elastic rod equation. (English)
[J] Appl. Math. Comput. 202, No. 2, 504-510 (2008). ISSN 0096-3003

Summary: We consider exact parametric representations of travelling wave solutions for an elastic rod equation. By using the method of plane dynamical systems, in different parameter regions, we give bifurcations of phase portraits of the travelling wave system. Exact explicit kink wave solutions, periodic wave solutions and some unbounded wave solutions are obtained.
MSC 2000:
*74J30 Nonlinear waves
74K10 Rods (beams, columns, shafts, arches, rings, etc.)

Keywords: kink wave solution; periodic wave solution; bifurcation

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