Breather-to-soliton conversions described by the quintic equation of the nonlinear Schrodinger hierarchy

Abstract

We analyze the quintic integrable equation of the nonlinear Schr¨odinger hierarchy that includes fifth-order dispersion with matching higher-order nonlinear terms. We show that a breather solution of this equation can be converted into a nonpulsating soliton solution on a background. We calculate the locus of the eigenvalues on the complex plane which convert breathers into solitons. This transformation does not have an analog in the standard nonlinear Schr¨odinger equation.We also study the interaction between the new type of solitons, as well as between breathers and these solitons. Show more