Abstract
We present rogue wave solutions of the integrable nonlinear Schrödinger equation hierarchy with an infinite number of higher-order terms. The latter include higher-order dispersion and higher-order nonlinear terms. In particular, we derive the fundamental rogue wave solutions for all orders of the hierarchy, with exact expressions for velocities, phase, and "stretching factors" in the solutions. We also present several examples of exact solutions of second-order rogue waves, including rogue wave triplets.
| Original language | English |
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| Article number | 012219 |
| Journal | Physical Review E |
| Volume | 96 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 20 Jul 2017 |