Fourier-Galerkin numerical technique for solitary waves of fifth order Korteweg-de Vries equation

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