Maximal intensity higher-order Akhmediev breathers of the nonlinear Schrodinger equation and their systematic generation Academic Article

abstract

• 2016 Elsevier B.V. It is well known that Akhmediev breathers of the nonlinear cubic Schrdinger equation can be superposed nonlinearly via the Darboux transformation to yield breathers of higher order. Surprisingly, we find that the peak height of each Akhmediev breather only adds linearly to form the peak height of the final breather. Using this peak-height formula, we show that at any given periodicity, there exists a unique high-order breather of maximal intensity. Moreover, these high-order breathers form a continuous hierarchy, growing in intensity with increasing periodicity. For any such higher-order breather, a simple initial wave function can be extracted from the Darboux transformation to dynamically generate that breather from the nonlinear Schrdinger equation.

authors

• Belic, Milivoj
• Chin, Siu

published proceedings

• PHYSICS LETTERS A

altmetric score

• 0.25

author list (cited authors)

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

citation count

• 21

complete list of authors

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

publication date

• October 2016

publisher

• Elsevier  Publisher

published in

• Physics Letters, Section A: General, Atomic and Solid State Physics  Journal

keywords

• Akhedmiev Breathers
• Darboux Transformation
• High Intensity Light Pulse
• Nonlinear Schrodinger Equation
• Optical Solitons
• Rogue Waves

Digital Object Identifier (DOI)

• 10.1016/j.physleta.2016.08.038

start page

• 3625

end page

• 3629

volume

• 380

issue

• 43

URL

• http://dx.doi.org/10.1016/j.physleta.2016.08.038