G.P. Agrawal, Nonlinear Fiber Optics, 3rd edn. (Academic, San Diego, 2001)
Y.S. Kivshar, G.P. Agrawal, Optical Solitons: From fibers to photonic crystals (Academic Press, San Diego, 2003)
G.P. Agrawal, Modulation instability induced by cross-phase modulation. Phys. Rev. Lett. 59, 880 (1987)
Xianqiong Zhong, Ke. Cheng, Modulation instability in metamaterials with fourth-order linear dispersion, second-order nonlinear dispersion, and three kinds of saturable nonlinearites. Optik 125(22), 6733–6738 (2014)
Ancemma Joseph, K. Porseziana, P. Tchofo Dinda, Modulation instability scenario in negative index materials. J. Mod. Opt. 57(6), 436–443 (2010)
S. Gnutzmann, U. Smilansky, S. Derevyanko, Stationary scattering from a nonlinear network. Phys. Rev. A 83, 033831 (2011)
A.V. Milovanov, A. Iomin, Dynamical chaos in nonlinear Schrödinger models with subquadratic power nonlinearity. Phys. Rev. E 107, 034203 (2023)
C. Benedetti, D. Tamascelli, M.G.A. Paris, A. Crespi, Quantum spatial search in two-dimensional waveguide arrays. Phys. Rev. Appl. 16, 054036 (2021)
C. Cacciapuoti, D. Finco, D. Noja, Topology-induced bifurcations for the nonlinear Schrödinger equation on the tadpole graph. Phys. Rev. E 91, 013206 (2015)
Article ADS MathSciNet Google Scholar
A. K. Shafeeque. Ali, Andrei I. Maimistov, K. Porsezian, A. Govindarajan, M. Lakshmanan, Modulational instability in a non-Kerr photonic Lieb lattice with metamaterials. Phys. Rev. A 103, 013517 (2021)
A.I. Maimistov, On the stability of flat-band modes in a rhombic nonlinear optical waveguide array. J. Opt. 19(4), 045502 (2017)
Article ADS MathSciNet Google Scholar
S.R. Rojas, L.M. Inostroza, R.A. Vicencio, A. Delgado, Quantum localized states in photonic flat-band lattices. Phys. Rev. A 96, 043803 (2017)
J.G. Caputo, A. Knippe, E. Simo, Oscillations of networks: the role of soft nodes. J. Phys. A: Math. Theor. 46, 035101 (2013)
Article ADS MathSciNet Google Scholar
S. Mukherjee, R.R. Thomson, Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice. Opt. Lett. 40(23), 5443–5446 (2015)
N.M. Litchinitser, I.R. Gabitov, A.I. Maimistov, öOptical bistability in a nonlinear optical coupler with a negative index channel. Phys. Rev. Lett. 99, 113902 (2007)
A.K. Shafeeque. Ali, K. Nithyanandan, K. Porsezian, P. Tchofo Dinda, Optical bistability and switching in oppositely directed coupler. IEEE J. Quantum Electron. 52(12), 6100508 (2016)
L. Zhang, Y. Xiang, X. Dai, S. Wen, Modulation instability in an array of positive- and negative-index waveguides. J. Opt. Soc. Am. B 31, 30293037 (2014)
K. Porsezian, AK. Shafeeque. Ali, Andrei I. Maimistov, Modulation instability in two-dimensional waveguide arrays with alternating signs of refractive index. J. Opt. Soc. Am. B 35(8), 2057–2064 (2018)
H.P. Zhu, Z.H. Pan, Stability of Gaussian-type light bullets in the cubic-quintic-septimal nonlinear media with different diffractions under PT-symmetric potentials. Nonlinear Dyn. 89, 1745–1752 (2017)
Article MathSciNet Google Scholar
A.K Shafeeque. Ali, A. Govindarajan, M. Lakshmanan, Stabilization of light bullets in nonlinear metamaterial waveguides. Phys. Rev. A 105, 033516 (2022)
Article ADS MathSciNet Google Scholar
G.H. Derrick, Comments on nonlinear wave equations as models for elementary particles. J. Math. Phys. 5, 1252 (1964)
留言 (0)