Rogue Waves for a (2+1)-Dimensional Coupled Nonlinear Schrödinger System with Variable Coefficients in a Graded-Index Waveguide<xref rid="ctp_69_5_551_fn1" ref-type="fn">*</xref> <fn id="ctp_69_5_551_fn1"> <label>*</label> <p>Supported by the National Natural Science Foundation of China under Grant Nos. 11772017, 11272023, and 11471050, by the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China (IPOC: 2017ZZ05) and by the Fundamental Research Funds for the Central Universities of China under Grant No. 2011BUPTYB02.</p></fn>

Rogue Waves for a (2+1)-Dimensional Coupled Nonlinear Schrödinger System with Variable Coefficients in a Graded-Index Waveguide* *

Supported by the National Natural Science Foundation of China under Grant Nos. 11772017, 11272023, and 11471050, by the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China (IPOC: 2017ZZ05) and by the Fundamental Research Funds for the Central Universities of China under Grant No. 2011BUPTYB02.

Du Zhong, Tian Bo^†, Wu Xiao-Yu, Yuan Yu-Qiang

(a), (b) Type-I rogue wave via Solutions (5) with k = l = 2, ρ₀ = m = 1, p = 0.01, d₂ = 0.5, y = 0, β(t) = β₁ e^−β₀t, W(t) = e^r₀t/2, γ(t) = γ_0/2, β₀ = 0.9, β₁ = 0.5, γ₀ = 0.15; (c), (d) Type-II rogue wave via Solutions (5) with the same parameters as those in Figs. 3(a) and 3(b).