Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type
arXiv:1112.3505 · doi:10.1088/0951-7715/25/5/1235
Abstract
We prove that if a solution of an equation of KdV type is bounded above by a traveling wave with an amplitude that decays faster than a given linear exponential then it must be zero. We assume no restrictions neither on the size nor in the direction of the speed of the traveling wave.