Solitary waves and their linear stability in weakly coupled KdV equations
نویسندگان
چکیده
منابع مشابه
SOLITARY WAVES AND THEIR LINEAR STABILITY IN WEAKLY COUPLED KdV EQUATIONS
We consider a system of weakly coupled KdV equations developed initially by Gear & Grimshaw to model interactions between long waves. We prove the existence of a variey of solitary wave solutions, some of which are not constrained minimizers. We show that such solutions are always linearly unstable. Moreover, the nature of the instability may be oscillatory and as such provides a rigorous justi...
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ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2007
ISSN: 0044-2275,1420-9039
DOI: 10.1007/s00033-006-6076-5