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Solitary wave and shock wave solutions to a second order wave equation of Korteweg–de Vries type

✍ Scribed by Houria Triki; T. Hayat; Omar M. Aldossary; Anjan Biswas

Book ID
108052049
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
148 KB
Volume
217
Category
Article
ISSN
0096-3003

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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