Rogue wave solutions for the infinite integrable nonlinear Schrödinger equation hierarchy

A. Ankiewicz and N. Akhmediev
Phys. Rev. E 96, 012219 – Published 20 July 2017

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.

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  • Received 19 May 2017

DOI:https://doi.org/10.1103/PhysRevE.96.012219

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsInterdisciplinary PhysicsGeneral Physics

Authors & Affiliations

A. Ankiewicz and N. Akhmediev

  • Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 2600, Australia

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Issue

Vol. 96, Iss. 1 — July 2017

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