Scattering of solutions and stability of solitary waves for the generalized BBM-ZK equation
نویسندگان
چکیده
منابع مشابه
Stability and Decay Properties of Solitary Wave Solutions for the Generalized Bo-zk Equation
In this paper we study the generalized BO-ZK equation in two dimensions. We classify the existence and non-existence of solitary waves depending on the sign of the dispersions and on the nonlinearity. By using the approach introduced by Cazenave and Lions we study the nonlinear stability of solitary waves. We also prove some decay and regularity properties of such waves.
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We prove that the collision of two solitary waves of the BBM equation is inelastic but almost elastic in the case where one solitary wave is small in the energy space. We show precise estimates of the nonzero residue due to the collision. Moreover, we give a precise description of the collision phenomenon (change of size of the solitary waves and shifts in their trajectories). To prove these re...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2014
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2014.v12.n2.a5