Breather, soliton and rogue wave of a two-component derivative nonlinear Schrodinger equation

Ultra-short pulse waves in the nonlinear optical fibers can be described by a two-component derivative nonlinear Schrodinger equation (cDNLS). Via theories of ordinary differential equation, general solutions of Lax pairs for cDNLS are attained, so analytic solutions describing different waveforms of cDNLS are obtained by virtue of Darboux transformation. Wave-type conversion is discussed: Fusion and fission of breather are gotten; Breather divide into breather and rogue wave is attained, i.e., breather splits up two breathers while one of which convert to rogue wave; Breather convert to bell shape soliton and rogue wave is obtained; Higher-order rogue-wave-breather is attained. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This study explores the behavior of ultra-short pulse waves in nonlinear optical fibers by using the two-component derivative nonlinear Schrodinger equation. Through theoretical analysis and mathematical tools, various waveforms and interactions, such as breather formation, fission, and conversion between rogue waves and other waveforms, are investigated.