On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic …
ZQ Li, SF Tian, JJ Yang - Advances in Mathematics, 2022 - Elsevier
In this work, we investigate the Cauchy problem of the Wadati-Konno-Ichikawa (WKI)
equation with finite density initial data in space-time solitonic regions, iq t+(q 1+| q| 2) xx= 0 …
equation with finite density initial data in space-time solitonic regions, iq t+(q 1+| q| 2) xx= 0 …
Soliton resolution for the Wadati–Konno–Ichikawa equation with weighted Sobolev initial data
ZQ Li, SF Tian, JJ Yang - Annales Henri Poincaré, 2022 - Springer
In this work, we employ the∂¯-steepest descent method to investigate the Cauchy problem
of the Wadati–Konno–Ichikawa (WKI) equation with initial conditions in weighted Sobolev …
of the Wadati–Konno–Ichikawa (WKI) equation with initial conditions in weighted Sobolev …
Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati–Konno–Ichikawa-II equation
Z Lin, XY Wen - Physica D: Nonlinear Phenomena, 2023 - Elsevier
This paper is devoted to studying the second type of complete integrable complex Wadati–
Konno–Ichikawa-II (cWKI-II) equation. We first study the conservation laws and construct the …
Konno–Ichikawa-II (cWKI-II) equation. We first study the conservation laws and construct the …
Riemann–Hilbert method for the Wadati–Konno–Ichikawa equation: N simple poles and one higher-order pole
Abstract We present a Riemann–Hilbert (RH) method directly by using the inverse scattering
method (ISM) for Wadati–Konno–Ichikawa equation (WKIE) iq t+ q 1+| q| 2 xx= 0. The RH …
method (ISM) for Wadati–Konno–Ichikawa equation (WKIE) iq t+ q 1+| q| 2 xx= 0. The RH …
Generation of dissipative solitons in a doped optical fiber modeled by the higher-order dispersive cubic-quintic-septic complex Ginzburg-Landau equation
The generation of dissipative optical solitons is explored in doped fibers with correction
effects under the activation of modulational instability (MI). The model, described by the …
effects under the activation of modulational instability (MI). The model, described by the …
Singular-loop rogue wave and mixed interaction solutions with location control parameters for Wadati–Konno–Ichikawa equation
Z Lin, XY Wen - Nonlinear Dynamics, 2023 - Springer
This paper is devoted to studying the complete integrable Wadati–Konno–Ichikawa
equation, which is an important integrable model with physical background. Based on the …
equation, which is an important integrable model with physical background. Based on the …
Impact of saturation on cross-phase instability in birefringent oppositely directed coupler with higher-order nonlinearities
P Mohanraj, R Sivakumar, AMS Arulanandham… - Indian Journal of …, 2022 - Springer
The present study reports the modulation instability (MI) in a positive–negative elliptical
birefringent indexed coupler with nonlinear saturation effect. We derive the modified …
birefringent indexed coupler with nonlinear saturation effect. We derive the modified …
Modulation instability in a nonlinear oppositely directed coupler with saturable nonlinearities and higher-order effects
EO Alves, WB Cardoso, AT Avelar - JOSA B, 2016 - opg.optica.org
The influence of a saturable nonlinearity on the modulation instability (MI) in an oppositely
directed coupler in the presence of high-order effects is investigated. The instability gain is …
directed coupler in the presence of high-order effects is investigated. The instability gain is …
Influence of birefringence in the instability spectra of oppositely directed coupler with negative index material channel
A theoretical investigation on the influence of birefringence in the modulational instability
(MI) spectra of an oppositely directed coupler (ODC) with a negative index material (NIM) …
(MI) spectra of an oppositely directed coupler (ODC) with a negative index material (NIM) …
Modulational instability of truncated Airy pulses in cubic–quintic nonlinear optical waveguides with multiphoton absorptions
SK Boukar, C Heuteu, LM Mandeng… - Optics Communications, 2022 - Elsevier
In this work we study the modulational instability (MI) phenomenon of truncated Airy pulses
in a cubic–quintic nonlinear optical waveguide including nonlinear multiphoton absorptions …
in a cubic–quintic nonlinear optical waveguide including nonlinear multiphoton absorptions …