Dynamics of superregular breathers in the quintic nonlinear Schrödinger equation

• DOI: 10.1007/s11071-018-4404-x
• Publication Date: 2018-06-12T03:50:32Z
• Authors: Lei Wang; Chong Liu; Xuan Wu; Xin Wang; Wen-Rong Sun
• Keywords: 0103 physical sciences; 01 natural sciences

In this paper, we consider an extended nonlinear Schrodinger equation that includes fifth-order dispersion with matching higher-order nonlinear terms. Via the modified Darboux transformation and Joukowsky transform, we present the superregular breather (SRB), multipeak soliton and hybrid solutions. The latter two modes appear as a result of the higher-order effects and are converted from a SRB one, which cannot exist for the standard NLS equation. These solutions reduce to a small localized perturbation of the background at time zero, which is different from the previous analytical solutions. The corresponding state transition conditions are given analytically. The relationship between modulation instability and state transition is unveiled. Our results will enrich the dynamics of nonlinear waves in a higher-order wave system.