recent_publications

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.

2024

Y. Ohno, A.G. Del Maestro, T.I. Lakoba, "Efficient simulations of Hartree-Fock equations by an accelerated gradient descent method," Phys. Rev. E 110, 055304 (2024). [PDF (*), Suplemental Material]
S.W. Kim, M.M. Elsayed, N.S. Nichols, T. Lakoba, J. Vanegas, V.N. Kotov, A.G. Del Maestro, "Atomically thin superfluid and solid phases for atoms on strained graphene," Phys. Rev. B 109, 064512 (2024). [PDF on PRB's site]

2023

M. Harper, U. Nudurupati, R. Workman, T. Lakoba, N. Perez, D. Nelson, Y. Ou, D. Punihaole, "Towards determining amyloid fibril structures using experimental constraints from Ramanspectroscopy," J. Chem. Phys. 159, 225101 (2023). [PDF (*), Supplementary Information]

2022

S.M. Rahaman, D. Mitra, G.I. Melikidze, T. Lakoba, "Pulsar radio emission mechanism II. On the origin of relativistic Langmuir solitons in pulsar plasma, " MNRAS (Monthly Notices of the Royal Astronomical Society) 516, 3715–3727 (2022). [PDF (*)]
J.M. Vanegas, D. Peterson, T.I. Lakoba, V.N. Kotov, "Spinodal de-wetting of light liquids on graphene," J. Phys.: Cond. Matt. 34, 175001 (2022). [PDF (*)]
A. Del Maestro, C. Wexler, J.M. Vanegas, T. Lakoba, V.N. Kotov, "A Perspective on Collective Properties of Atoms on 2D Materials," Adv. Electron. Mater. 8, 2100607 (2022). [PDF]
T.I. Lakoba, B.L. Kotzen, C.J. McKinstrie, "Numerical treatment of boundary conditions to reduce high-frequency artifacts in simulations of distributed-feedback Lasers," J. Sel. Top. Quantum Electron. 28, 1500812 (2022). [PDF (*)]

2021

J.Yu, E. Lauricella, M. Elsayed, K. Shepherd Jr., N.S. Nichols, T. Lombardi, S.W. Kim, C. Wexler, J.M. Vanegas, T.I. Lakoba, V.N. Kotov, A. Del Maestro, "Two-dimensional Bose-Hubbard model for helium on graphene," Phys. Rev. B 103, 235414 (2021). [PDF on arXiv]
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 (*)]
S. Duo, T.I. Lakoba, Y. Zhang, "Dynamics of Plane Waves in the Fractional Nonlinear Schroedinger Equation with Long-Range Dispersion," Symmetry 13, 1394 (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 (*)]

2017

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. 33, 633--650 (2017). [PDF (*)]

2016

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 (*)]

2015

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 (*)]

2014

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 ]

2013

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 (*)]

2012

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 (*)]

2011

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]

2009

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]

2008

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]

2007

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]

2005