Phase-shift controlling of three solitons in dispersion-decreasing fibers

Phase-shift controlling can attenuate the interactions between solitons and gives practical advantage in optical communication systems. For the variable-coefficient nonlinear Schrodinger equation, which can be imitated the transmission of solitons in the dispersion-decreasing fiber, analytic three solitons solutions are derived via the Hirota method. Based on the obtained solutions, influences of the second-order dispersion parameters and other related parameters in different function types on the soliton transmission are discussed. Results declare that phase-shift controlling of solitons in dispersion-decreasing fiber can be achieved when the dispersion function is Gaussian one. In addition, by adjusting the constraint value, propagation distance of solitons can be further extended. This may be useful in the optical logic devices and ultra-short pulse lasers.

[1]  A. Wazwaz Abundant solutions of various physical features for the (2+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation , 2017 .

[2]  Hongwei Yang,et al.  A new ZK–BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property , 2018 .

[3]  M. Belić,et al.  Solitons in optical metamaterials having parabolic law nonlinearity with detuning effect and Raman scattering , 2018, Optik.

[4]  Ningyao Zhang,et al.  N-Fold Darboux transformation of the discrete Ragnisco–Tu system , 2018, Advances in Difference Equations.

[5]  Yonggang Wang,et al.  2 μm passive Q-switched mode-locked Tm3+:YAP laser with single-walled carbon nanotube absorber , 2012 .

[6]  Hongjun Zheng,et al.  Propagation characteristics of chirped soliton in periodic distributed amplification systems with variable coefficients , 2012 .

[7]  A. Wazwaz Multiple soliton solutions and other exact solutions for a two‐mode KdV equation , 2016 .

[8]  Hai-feng Liu,et al.  Higher order soliton pulse compression in dispersion-decreasing optical fibers , 1997 .

[9]  Jie Liu,et al.  1.3 μm Q-switched solid-state laser based on few-layer ReS2 saturable absorber , 2019, Optics & Laser Technology.

[10]  Q. Guo,et al.  Large phase shift of (1+1)-dimensional nonlocal spatial solitons in lead glass , 2014, 1404.2028.

[11]  Hongwei Yang,et al.  Symmetry analysis for three-dimensional dissipation Rossby waves , 2018, Advances in Difference Equations.

[12]  A. Wazwaz,et al.  A new integrable ($$3+1$$3+1)-dimensional KdV-like model with its multiple-soliton solutions , 2016 .

[13]  M. Eslami,et al.  Optical solitons with Biswas–Milovic equation for power law and dual-power law nonlinearities , 2016 .

[14]  B. Tian,et al.  Soliton dynamics and interaction in the Bose–Einstein condensates with harmonic trapping potential and time-varying interatomic interaction , 2012 .

[15]  S. Rizvi,et al.  Optical solitons for non-Kerr law nonlinear Schrödinger equation with third and fourth order dispersions , 2019, Chinese Journal of Physics.

[16]  Abdul-Majid Wazwaz,et al.  Solving the $$\mathbf{(3+1) }$$(3+1)-dimensional KP–Boussinesq and BKP–Boussinesq equations by the simplified Hirota’s method , 2017 .

[17]  Yu Zhang,et al.  A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism , 2018, Comput. Math. Appl..

[18]  L. Melnikov,et al.  Controlling the interaction between optical solitons using periodic dispersion variations in an optical fibre , 2015 .

[19]  S. Ghosh,et al.  Two-soliton and three-soliton interactions of electron acoustic waves in quantum plasma , 2016 .

[20]  Chen Fu,et al.  Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions , 2018, Appl. Math. Comput..

[21]  S. Rizvi,et al.  Chirped optical solitons for Triki–Biswas equation , 2019, Modern Physics Letters B.

[22]  M. Belić,et al.  Optical soliton perturbation with Fokas–Lenells equation using three exotic and efficient integration schemes , 2018, Optik.

[23]  Abdul-Majid Wazwaz,et al.  A two-mode modified KdV equation with multiple soliton solutions , 2017, Appl. Math. Lett..

[24]  Cheng Zhang,et al.  Compact passive Q-switching of a diode-pumped Tm,Y:CaF2 laser near 2 μm , 2018, Optics & Laser Technology.

[25]  Yan Xu,et al.  Investigation of multi-soliton, multi-cuspon solutions to the Camassa-Holm equation and their interaction , 2012 .

[26]  Ning Zhang,et al.  A Riemann-Hilbert Approach to the Chen-Lee-Liu Equation on the Half Line , 2018, Acta Mathematicae Applicatae Sinica, English Series.

[27]  Wenjun Liu,et al.  Interactions of vector anti-dark solitons for the coupled nonlinear Schrödinger equation in inhomogeneous fibers , 2018, Nonlinear Dynamics.

[28]  Huanhe Dong,et al.  Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows , 2019 .

[29]  I. Zolotovskii,et al.  Formation of the amplification regime of quasi-soliton pulses in waveguides with longitudinally inhomogeneous cross sections , 2007 .

[30]  Optical solitons for Triki-Biswas equation by two analytic approaches , 2020, AIMS Mathematics.

[31]  Wenjun Liu,et al.  Amplification, reshaping, fission and annihilation of optical solitons in dispersion-decreasing fiber , 2018 .

[32]  M. Eslami,et al.  Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion , 2016 .

[33]  Wenjun Liu,et al.  Analytic study on interactions between periodic solitons with controllable parameters , 2018, Nonlinear Dynamics.

[34]  Hongwei Yang,et al.  Combined ZK-mZK equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions , 2018, Advances in Difference Equations.

[35]  M. Belić,et al.  Optical solitons with differential group delay and four-wave mixing using two integration procedures , 2018, Optik.

[36]  K. Javidan,et al.  Interaction of noncommutative solitons with defects , 2008 .

[37]  Hui-bin Wu,et al.  Hyperchaos in constrained Hamiltonian system and its control , 2018, Nonlinear Dynamics.

[38]  Lihui Pang,et al.  Study on the control technology of optical solitons in optical fibers , 2016 .

[39]  A. Wazwaz A study on a two‐wave mode Kadomtsev–Petviashvili equation: conditions for multiple soliton solutions to exist , 2017 .

[40]  Yong Zhang,et al.  Dynamic behaviors of interaction solutions of (3+1)-dimensional Shallow Water wave equation , 2018, Comput. Math. Appl..