Breather transition dynamics, Peregrine combs and walls, and modulation instability in a variable-coefficient nonlinear Schrodinger equation with higher-order effects
Image credit: UnsplashAbstract
We study a variable-coefficient nonlinear Schrodinger (vc-NLS) equation with higher-order effects. We show that the breather solution can be converted into four types of nonlinear waves on constant backgrounds including the multipeak solitons, antidark soliton, periodic wave, and W-shaped soliton. In particular, the transition condition requiring the group velocity dispersion (GVD) and third-order dispersion (TOD) to scale linearly is obtained analytically. We display several kinds of elastic interactions between the transformed nonlinear waves.
Type
Publication
Physical Review E 93(6): 062217
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Zhang Jianhui
Ph.D Student of Mechanical Engineering
My research interests include Nanoengineering for healthcare and Energy.