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Stability of smooth solitary waves for the generalized Korteweg–de-Vries equation with combined dispersion

✍ Scribed by J. L. Yin

Book ID
113080715
Publisher
Springer
Year
2012
Tongue
English
Weight
87 KB
Volume
63
Category
Article
ISSN
0041-5995

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📜 SIMILAR VOLUMES

On the nonlinear stability of solitary w
On the nonlinear stability of solitary wave solutions of the fifth-order Korteweg–de Vries equation
✍ 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