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Stability of the Korteweg-de Vries solitary wave solution

✍ Scribed by Lü Xian-qing


Book ID
105580443
Publisher
Springer
Year
1994
Tongue
English
Weight
75 KB
Volume
15
Category
Article
ISSN
0253-4827

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📜 SIMILAR VOLUMES


On the nonlinear stability of solitary w
✍ F. Dias; E.A. Kuznetsov 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 67 KB

For the fifth-order Korteweg-de Vries equation it is demonstrated that the Hamiltonian is bounded from below for fixed momentum. If there exists a solitary wave solution which realizes this minimum, then it is stable with respect to not only small perturbations but also finite ones. The proof is bas