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Stability of a solution of the form of a solitary wave for a nonlinear complex modified Korteweg-de Vries equation

✍ Scribed by E. P. Zhidkov; I. D. Iliev; K. P. Kirchev

Publisher
SP MAIK Nauka/Interperiodica
Year
1986
Tongue
English
Weight
485 KB
Volume
26
Category
Article
ISSN
0037-4466

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πŸ“œ 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 πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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