Weierstrass's criterion and compact solitary waves

Details Weierstrass's criterion and compact solitary waves Weierstrass's criterion and compact solitary waves

2007-11-28

arxiv.org/abs/0711.4437v1

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 75 (2007) 047601

Physics

Classical Physics

4 pages

Scientific paper

10.1103/PhysRevE.75.047601

Weierstrass's theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this Brief Report we show how a simple generalization of this tool makes it possible to identify some differential equations for which compact and even semicompact traveling solitary waves exist. In the framework of continuum mechanics, these differential equations correspond to bulk shear waves for a special class of constitutive laws.

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