Systematic generation of higher-order solitons and breathers of the Hirota equation on different backgrounds Academic Article

abstract

• 2017, Springer Science+Business Media Dordrecht. We investigate the systematic generation of higher-order solitons and breathers of the Hirota equation on different backgrounds. The Darboux transformation is used to construct proper initial conditions for dynamical generation of high-intensity solitons and breathers of different orders on a uniform background. We provide expressions for the Lax pair generating functions and the procedure for calculating higher-order solutions when Jacobi elliptic functions are the background seed solutions of the Hirota equation. We confirm that the peak height of each soliton or breather in the nonlinear Darboux superposition adds linearly, to form the intensity maximum of the final solution.

authors

• Chin, Siu

published proceedings

• NONLINEAR DYNAMICS

author list (cited authors)

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

citation count

• 14

complete list of authors

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

publication date

• August 2017

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Breathers And Rogue Waves
• Darboux Transformation
• Higher-order Solitons
• Hirota Equation

Digital Object Identifier (DOI)

• 10.1007/s11071-017-3540-z

start page

• 1637

end page

• 1649

volume

• 89

issue

• 3

URL

• http://dx.doi.org/10.1007/s11071-017-3540-z