| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8901384 | Applied Mathematics and Computation | 2018 | 7 Pages |
Abstract
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave solutions (cnoidal waves) for a Korteweg-de Vries (KdV) equation which includes a fifth order dispersive term. The traveling wave solutions which yield solitons for zero boundary conditions and wave-trains of cnoidal waves for nonzero boundary conditions are analyzed using stability theorems, which rely on the positivity properties of the Fourier transforms. We show that all families of solutions considered here are (orbitally) stable.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ronald Adams, Stefan C. Mancas,