科研之友
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摘要
We show that breather solutions of the Gardner equation, a natural generalization of the KdV and mKdV equations, are H-2(R) stable. Through a variational approach, we characterize Gardner breathers as minimizers of a new Lyapunov functional and we study the associated spectral problem, through (i) the analysis of the spectrum of explicit linear systems (spectral stability), and (ii) controlling degenerated directions by using low regularity conservation laws.
- 出版日期2018-1-15
