Instability of periodic traveling waves for the symmetric regularized long wave equation
Instability of periodic traveling waves for the symmetric regularized long wave equation
Abstract We prove the linear and nonlinear instability of periodic traveling wave solutions for a generalized version of the symmetric regularized long wave (SRLW) equation. Using analytic and asymptotic perturbation theory, we establish sufficient conditions for the existence of exponentially growing solutions to the linearized problem and so the linear …