N ov 2 00 7 Weierstrass ’ s criterion and compact solitary waves
نویسندگان
چکیده
Weierstrass’s theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this note we show how a simple generalization of this tool makes it possible to identify some differential equations for which compact and even semi-compact travelling solitary waves exist. In the framework of continuum mechanics, these differential equations correspond to bulk shear waves for a special class of constitutive laws.
منابع مشابه
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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 differen...
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