title: Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions.
abstract: We present breather solutions of the quintic integrable equation of the Schrödinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darboux transformation, we derive first-order and second-order breather solutions. These include first- and second-order rogue-wave solutions. To some extent, these solutions are analogous with the corresponding nonlinear Schrödinger equation (NLSE) solutions. However, the presence of a free parameter in the equation results in specific solutions that have no analogues in the NLSE case. We analyze new features of these solutions.
authors.affiliation: Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2600, Australia.
authors.forename: A
authors.initials: A
authors.lastname: Chowdury
authors.affiliation: Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2600, Australia.
authors.forename: D J
authors.initials: DJ
authors.lastname: Kedziora
authors.affiliation: Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2600, Australia.
authors.forename: A
authors.initials: A
authors.lastname: Ankiewicz
authors.affiliation: Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2600, Australia.
authors.forename: N
authors.initials: N
authors.lastname: Akhmediev