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Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg–de Vries Equation

✍ Scribed by Johnson, Mathew A.


Book ID
118198712
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
497 KB
Volume
41
Category
Article
ISSN
0036-1410

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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