Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations
arXiv:2209.04158
Abstract
We study the stability of standing-waves solutions to a scalar non-linear Klein-Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applying the semigroup generated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.
19 pages, no figures