Propagating wave patterns in a derivative nonlinear schrödinger system with quintic nonlinearity

Colin Rogers, Boris Malomed, Jin Hua Li, Kwok Wing Chow

Research output: Contribution to journalArticlepeer-review

Abstract

Exact expressions are obtained for a diversity of propagating patterns for a derivative nonlinear Schrödinger equation with the quintic nonlinearity. These patterns include bright pulses, fronts and dark solitons. The evolution of the wave envelope is determined via a pair of integrals of motion, and reduction is achieved to Jacobi elliptic cn and dn function representations. Numerical simulations are performed to establish the existence of parameter ranges for stability. The derivative quintic nonlinear Schrödinger model equations investigated here are relevant in the analysis of strong optical signals propagating in spatial or temporal waveguides.

Original languageEnglish
Article number094005
JournalJournal of the Physical Society of Japan
Volume81
Issue number9
DOIs
StatePublished - Sep 2012

Keywords

  • Derivative nonlinear Schrödinger equation
  • Quintic nonlinearity

Fingerprint

Dive into the research topics of 'Propagating wave patterns in a derivative nonlinear schrödinger system with quintic nonlinearity'. Together they form a unique fingerprint.

Cite this