Abstract
Consideration in this paper is the Cauchy problem of a generalized hyperelastic-rod wave equation. We first derive a wave-breaking mechanism for strong solutions, which occurs in finite time for certain initial profiles. In addition, we determine the existence of some new peaked solitary wave solutions.
Citation
Xiaolian Ai. Lingyu Jiang. Ting Yi. "Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/876849