Transverse Instability of Line Solitary Waves in Massive Dirac Equations
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چکیده
منابع مشابه
Transverse instability of gravity-capillary line solitary water waves
The gravity-capillary water-wave problem concerns the irrotational flow of a perfect fluid in a domain bounded below by a rigid bottom and above by a free surface under the influence of gravity and surface tension. In the case of large surface tension the system has a travelling line solitary-wave solution for which the free surface has a localised profile in the direction of propagation and is...
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The Euler-Korteweg model is made of the standard Euler equations for compressible fluids supplemented with the Korteweg tensor, which is intended to take into account capillary effects. For nonmonotone ‘pressure’ laws, the Euler-Korteweg model is known to admit solitary waves, even though their physical significance remains unclear. In fact, several kinds of solitary waves, with various endstat...
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Transverse instabilities correspond to a class of perturbations traveling in a direction transverse to the direction of the basic solitary wave. Solitary waves traveling in one space direction generally come in one-parameter families. We embed them in a two-parameter family and deduce a new geometric condition for transverse instability of solitary waves. This condition is universal in the sens...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2015
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-015-9278-1