Spatial Self-Similar Transformation and Novel Line Rogue Waves of the Fokas System

2021 ◽  
Author(s):  
Jie-Fang Zhang ◽  
Mei-Zhen Jin
Keyword(s):  
Rogue Waves ◽  
Similar Transformation ◽  
Self Similar

scholarly journals Spatial Self-Similar Transformation and Novel Line Rogue Wave of the Fokas System

2021 ◽  
Author(s):  
Jie-Fang Zhang ◽  
Mei-Zhen Jin
Keyword(s):  
Schrödinger Equation ◽  
Optical Fibers ◽  
Coherent Structure ◽  
Schrodinger Equation ◽  
Pulse Propagation ◽  
Rogue Waves ◽  
Simple Extension ◽  
Similar Transformation ◽  
Evolution Characteristics ◽  
Self Similar

Abstract Fokas system is a natural and simple extension of the (2+1)-dimensional Schrödinger equation which can be used to describe optical pulse propagation in the nonlocal optical fibers. We first propose a two-dimensional spatial self-similar transformation of the Fokas system which is translated into the (1+1)-dimensional nonlinear Schrödinger equation. And then construct its abundant line rogue waves excitation. It is found that the spatial coherent structure line rogue waves induced by the Akhmediev breathers and Kuznetsov-Ma solitons also have the short life characteristics which possessed for the line rogue waves induced by the Peregrine solitons and other higher-order rogue waves and multi-rogue waves of the (1+1) dimensional standard NLS equations. This is completely different from the evolution characteristics of line soliton structures induced by bright solitons and the multi-solitons, which keeping their shape and amplitude unchanged. The diagram shows the evolution characteristics of the resulting all kinds of line rogue waves. The new excitation mechanism of line rogue waves revealed contributes to the new understanding of the coherent structure of high-dimensional nonlinear wave models.

Configurations and Self-similar Transformation of Octagonal Quasilattice

2008 ◽  
Vol 25 (12) ◽  
pp. 4336-4338 ◽  
Author(s):  
Liao Long-Guang ◽  
Fu Xiu-Jun ◽  
Hou Zhi-Lin
Keyword(s):  
Similar Transformation ◽  
Self Similar

scholarly journals Semirational and symbiotic self-similar rogue waves in a (2+1)-dimensional graded-index waveguide

2015 ◽  
Vol 63 (12) ◽  
pp. 1196-1204 ◽  
Author(s):  
Kanchan Kumar De ◽  
Thokala Soloman Raju ◽  
C. N. Kumar ◽  
Prasanta K. Panigrahi
Keyword(s):  
Rogue Waves ◽  
Graded Index ◽  
Self Similar

scholarly journals Generation and controlling of ultrashort self-similar solitons and rogue waves in inhomogeneous optical waveguide

Optik ◽  
2020 ◽  
Vol 223 ◽  
pp. 165634
Author(s):  
Harneet Kaur ◽  
Nisha ◽  
Amit Goyal ◽  
Thokala Soloman Raju ◽  
C.N. Kumar
Keyword(s):  
Optical Waveguide ◽  
Rogue Waves ◽  
Self Similar

A self-similar transformation for a dodecagonal quasiperiodic covering with T-clusters

2013 ◽  
Vol 46 (24) ◽  
pp. 245205
Author(s):  
Longguang Liao ◽  
Wenbin Zhang ◽  
Tongxu Yu ◽  
Zexian Cao
Keyword(s):  
Similar Transformation ◽  
Self Similar
Sign in / Sign up

Export Citation Format

Share Document