Abstract
We analyze the quintic integrable equation of the nonlinear Schrödinger 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 Schrödinger equation. We also study the interaction between the new type of solitons, as well as between breathers and these solitons.
Original language | English |
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Article number | 032928 |
Journal | Physical Review E |
Volume | 91 |
Issue number | 3 |
DOIs | |
Publication status | Published - 30 Mar 2015 |