科研之友
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摘要
The Degasperis-Procesi equation can be derived as a member of a one-parameter family of asymptotic shallow-water approximations to the Euler equations with the same asymptotic accuracy as that of the Camassa-Holm equation. In this paper, We Study the orbital stability problem of the peaked solitons to the Degasperis-Procesi equation oil the line. By constructing a Lyapunov function, we prove that the shapes of these peakon solitons are stable under small perturbations.
- 出版日期2009-1
