Homoclinic Connections of Unstable Plane Waves of the Long-Wave–Short-Wave Equations |
| |
Authors: | O C Wright III |
| |
Institution: | Cedarville University, Ohio |
| |
Abstract: | A Bäcklund transformation is obtained for unstable plane wave solutions of the long-wave–short-wave resonance equations that appear in continuum mechanics. Explicit expressions for the periodic homoclinic connections that arise from the instabilities are constructed by evaluating the transform at double points of the Floquet spectral curve. |
| |
Keywords: | |
|
|