On recovering the nonlinearity for generalized higher-order Schrödinger equations

Abstract

In this note, we generalize the nonlinearity-recovery result in [7] for classical cubic nonlinear Schrödinger equations to higher-order Schrödinger equations with a more general nonlinearity. More precisely, we consider a spatially-localized nonlinear higher-order Schrödinger equation and recover the spatially-localized coefficient by the solutions with data given by small-amplitude wave packets.

References in corpus (2)

• Analyticity of the scattering operator for semilinear dispersive equations
• Recovery of a general nonlinearity in the semilinear wave equation