Abstract
We shall establish the existence and non existence of solitons (travelling waves of finite energy) for a Benney-Luke equation of higher order, which includes models for long water waves with small amplitude. Following a variational approach, solitons are characterized as critical points of the action functional. Existence of solitons follows by the Concentration-Compactness principle by P.-L. Lions, applied to an appropriated minimization problem. It is also shown that solitons are smooth.
Citation
Octavio Montoya. José R. Quintero. "Existence and non existence of solitons for a 1D Benney-Luke model of higher order." Adv. Differential Equations 20 (11/12) 1187 - 1220, November/December 2015. https://doi.org/10.57262/ade/1439901074
Information