Breathers, solitons and rogue waves of the quintic nonlinear Schrodinger equation on various backgrounds Academic Article

abstract

• 2019, Springer Nature B.V. We investigate the generation of breathers, solitons, and rogue waves of the quintic nonlinear Schrdinger equation (QNLSE) on uniform and elliptical backgrounds. The QNLSE is the general nonlinear Schrdinger equation that includes all terms up to the fifth-order dispersion. We use Darboux transformation to construct initial conditions for the dynamical generation of localized high-intensity optical waves. The condition for the breather-to-soliton conversion is provided with the analysis of soliton intensity profiles. We discover a new class of higher-order solutions in which Jacobi elliptic functions are set as background seed solutions of the QNLSE. We also introduce a method for generating a new class of rogue wavesthe periodic rogue wavesbased on the matching of the periodicity of higher-order breathers with the periodicity of the background dnoidal wave.

authors

• Chin, Siu

published proceedings

• NONLINEAR DYNAMICS

author list (cited authors)

• Nikolic, S. N., Ashour, O. A., Aleksic, N. B., Belic, M. R., & Chin, S. A.

citation count

• 19

complete list of authors

• Nikolic, Stanko N||Ashour, Omar A||Aleksic, Najdan B||Belic, Milivoj R||Chin, Siu A

publication date

• March 2019

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Darboux Transformation
• Quintic Nonlinear Schrodinger Equation
• Rogue Waves

Digital Object Identifier (DOI)

• 10.1007/s11071-018-4726-8

start page

• 2855

end page

• 2865

volume

• 95

issue

• 4

URL

• http://dx.doi.org/10.1007/s11071-018-4726-8