Homoclinic Connections of Unstable Plane Waves of the Long-wave-short-wave Equations
Studies in Applied Mathematics
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.
Wave equation, Bäcklund transformation, differential equations, configuration space, continuum mechanics, Floquet theory
Wright III, O. C. (2006). Homoclinic connections of unstable plane waves of the long-wave-short-wave equations. Studies in Applied Mathematics, 117, 71-93.