The asterisk (*) next to a link
to the paper indicates that due to publisher's restrictions, a preprint
is posted instead of the final version of the paper. The latter can be
obtained from me by request.

2021

2020

2019

2018

2021

- T.I. Lakoba, J.S. Jewell, "Higher-order explicit schemes
based on the Method of characteristics for hyperbolic equations with
crossing straight-line characteristics," Numer Meth. Partial Differ. Equ., 37, 2742--2780 (2021). [PDF (*)]

- P.G. Patki, P. Guan, L. Li, T.I. Lakoba, L. Oxenlowe, M. Vasilyev,
M. Galili, "Recent progress on optical regeneration of
wavelength-division-multiplexed data," IEEE J. Sel. Top. Quantum
Electron. 27, 7700812 (2021). [PDF (*)]

2020

- T.I. Lakoba, "Study of instability of the Fourier split-step method for the massive Gross--Neveu model," J. Comp. Phys. 402, 109100 (2020). [PDF, uncut preprint version; PDF (*)]

2019

- T.I. Lakoba, Z. Deng, "Stability analysis of the numerical
Method of characteristics applied to energy-preserving systems. Part I:
Periodic boundary conditions," J. Comput. Appl. Math. 356, 67--80 (2019).
[PDF (*)]

- T.I. Lakoba, Z. Deng, "Stability analysis of the numerical Method of characteristics applied to energy-preserving systems. Part II: Nonreflecting boundary conditions," J. Comput. Appl. Math. 356, 267--292 (2019). [PDF (*)]

2018

- T.I. Lakoba, D. Mitra, G.
Melikidze, "Relativistic charged solitons created due to nonlinear
Landau damping: A candidate for explaining coherent radio emission in
pulsars,"
*Monthly Notices of the Royal Astronomical Society*(MNRAS), 480, 4526--4543 (2018). [PDF ] [direct link to MNRAS]

- T.I. Lakoba, "Numerical study of
solitary wave stability in cubic nonlinear Dirac equations in 1D," Phys. Lett. A 382, 300--308 (2018) [PDF (*)]

- L. Li, P.G. Patki, Y.B. Kwon, V. Stelmakh, B.D. Campbell, M.
Annamalai, T.I. Lakoba, M. Vasilyev, "All-optical regenerator of
multi-channel signals," Nature
Commun. 8, 884
(2017). [PDF ]

- T.I. Lakoba, "Long-time simulations of nonlinear
Schroedinger-type equations using step size exceeding threshold of
numerical instability," J. Sci.
Comput. 72, 14--48
(2017).
[PDF (*), also available in published form]

- This is a logical flow-chart
for the implementation of the stabilization step given by Eq. (28) of
the above paper.

- T.I. Lakoba, "Instability of the finite-difference split-step method applied to the nonlinear Schroedinger equation. III. external potential and oscillating pulse solutions," Num. Meth. Part. Diff. Eqs. . [PDF (*)]

- G. Ghanavati, P.D.H. Hines, T.I. Lakoba, "Identifying
useful statistical indicators of proximity to instability in stochastic
power systems," IEEE Trans. Power
Syst. 31, 1360–1368
(2016)
[PDF]

- T.I. Lakoba, "Instability of the finite-difference
split-step method applied to the nonlinear Schroedinger equation.
I. standing soliton," Num.
Meth. Part. Diff. Eqs. 32,
1002--1023 (2016). [PDF
(*)]

- T.I. Lakoba, "Instability of the finite-difference split-step method applied to the nonlinear Schroedinger equation. II. moving soliton," Num. Meth. Part. Diff. Eqs. 32, 1024--1040 (2016). [PDF (*)]

- T.I. Lakoba, "Effect
of noise on extreme events probability in a one-dimensional nonlinear
Schroedinger equation," Phys.
Lett. A 379, 1821--1827
(2015) [PDF (*)]

- T.I. Lakoba, M. Vasilyev, "On multi-channel operation
of phase-preserving 2R amplitude regenerator," Opt. Commun. 322, 114–117 (2014). [PDF ]

- G. Ghanavati, P.D.H. Hines, T.I. Lakoba, E. Cotilla-Sanchez, "Understanding of early indicators of critical transitions in power systems from autocorrelation functions," IEEE Trans. Circ. & Syst. - I 61, 2747–2760 (2014). [PDF ]

- T.I. Lakoba, "Instability of the split-step method for a signal with nonzero central frequency," J. Opt. Soc. Am. B 30, 3260–3271 (2013). [PDF (*)]
- T.I. Lakoba, "Spurious localized highest-frequency modes in Schroedinger-type equations solved by finite-difference methods," J. Comp. Appl. Math. 245, 117 (2013). [PDF (*)]

- T.I. Lakoba, "Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schroedinger equation," Num. Meth. Part. Diff. Eqs. 28, 641 (2012). [PDF (*)]

- T.I. Lakoba, "Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities," Mathematics and Computers in Simulation 81, 1572 (2011). [PDF (*)]
- T.I. Lakoba, J.R. Williams, and M. Vasilyev, "Low-power,
phase-preserving 2R amplitude regenerator," Opt. Commun. 285, 331–337 (2012). [PDF (*)]

- T.I. Lakoba, J.R. Williams, and M. Vasilyev, "NALM-based, phase-preserving 2R regenerator of high-duty-cycle pulses," Opt. Express 19, 23017–23028 (2011). [PDF]

- T.I. Lakoba, "Conjugate Gradient Method for finding
fundamental solitary waves," Physica
D 238, 2308
(2009). [PDF (*)]

- T.I. Lakoba, "BER Degradation by Signal-Reshaping Processors
With Noninstantaneous Response," J.
Lightwave Technol. 27,
1379 (2009). [PDF]

- T.I. Lakoba and M. Vasilyev, "A comparative study of noisy signal evolution in 2R all-optical regenerators with normal and anomalous average dispersions using an accelerated Multicanonical Monte Carlo method," Opt. Express 16, 17714 (2008). [PDF]
- T.I. Lakoba, "Multicanonical Monte Carlo study of the BER of an all-optically 2R regenerated signal," J. Sel. Top. Quantum Electron. 14, 599 (2008). [PDF]
- J. Yang and T.I. Lakoba,
"Accelerated imaginary-time evolution methods for the computation of
solitary
waves," Studies Appl. Math. 120, 265 (2008). [PDF]

- T.I. Lakoba and M. Vasilyev, "A new robust regime for a dispersion-managed multichannel regenerator," Opt. Express 15, 10061 (2007). [PDF]
- T.I. Lakoba and J. Yang, "A mode elimination technique to improve convergence of iteration methods for finding solitary waves," J. Comp. Phys. 226, 1693 (2007). [PDF (*)]
- T.I. Lakoba and J. Yang, "A generalized Petviashvili method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity," J. Comp. Phys. 226, 1668 (2007). [PDF (*)]
- J. Yang and T.I. Lakoba,
"Universally-convergent squared-operator iteration methods for solitary
waves in general nonlinear wave equations," Studies Appl. Math. 118, 153 (2007). [PDF]

- M. Vasilyev and T.I. Lakoba, "All-optical multi-channel 2R regeneration in a fiber-based device," Opt. Lett. 30, 1458 (2005). [PDF]
- T. I. Lakoba, "Transmission improvement in ultra-long dispersion-managed soliton WDM systems by using pulses with different widths," J. Lightwave Technol. 23, 2647 (2005). [PDF]
- T.I. Lakoba, D.J. Kaup, N.M. Finkelstein,
"Modifications of the Helbing-Molnar-Farkas-Vicsek social-force model
for pedestrian evolution," SIMULATION: Trans. Soc. Model. Simul. Int'l 81, 339--352 (2005). [PDF]

- T. I. Lakoba, "Effect of a Raman Co-Pump’s RIN on the BER for Signal Transmission Using ON–OFF Keying Modulation Format," J. Lightwave Technol. 22, 382 (2004). [PDF]
- T. I. Lakoba, C. Dorrer, D. N.
Maywar, "Polarization-mode
dispersion of a circulating loop," J.
Opt. Soc. Am. B 21,
243 (2004). [PDF]

- C. J. McKinstrie, T.I. Lakoba, "Probability-density function for energy perturbations of isolated optical pulses," Optics Express 11, 3628 (2003). [PDF]
- T.I. Lakoba, "Using phase modulation to suppress ghost pulses in high-speed optical transmission," Frontiers of Optics Tech. Digest, paper WN2, Tucson, AZ (2003). [PPT]