Existence,orbital stability and instability of solitary waves for coupled BBM equations |
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| Authors: | Li-wei Cui |
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| Institution: | (1) Fundamental Department, The Academy of Armored Force Engineering, Beijing, 100072, China |
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| Abstract: | This paper is concerned with the orbital stability/instability of solitary waves for coupled BBM equations which have Hamiltonian
form. The explicit solitary wave solutions will be worked out first. Then by detailed spectral analysis and decaying estimates
of solutions for the initial value problem, we obtain the orbital stability /instability of solitary waves.
Supported by the National Natural Science Foundation of China (No. 10271082, 10671131) and Beijing Natural Science Foundation
(No. 1052003). |
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| Keywords: | Solitary wave orbital stability/instability spectral analysis decaying estimate |
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