T. I. Lakoba

Available identifiers

zbMath Open lakoba.taras-iMaRDI QIDQ304390

List of research outcomes

Publication	Date of Publication	Type
Universally‐Convergent Squared‐Operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations	2024-04-06	Paper
Higher‐order explicit schemes based on the method of characteristics for hyperbolic equations with crossing straight‐line characteristics	2023-12-12	Paper
Understanding Early Indicators of Critical Transitions in Power Systems From Autocorrelation Functions	2021-08-26	Paper
Study of instability of the Fourier split-step method for the massive Gross-Neveu model	2021-01-27	Paper
Numerical study of solitary wave stability in cubic nonlinear Dirac equations in 1D	2018-03-06	Paper
Long-time simulations of nonlinear Schrödinger-type equations using step size exceeding threshold of numerical instability	2017-08-22	Paper
Instability of the finite‐difference split‐step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions	2017-06-28	Paper
Effect of noise on extreme events probability in a one-dimensional nonlinear Schrödinger equation	2016-08-25	Paper
Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. I. standing soliton	2016-05-25	Paper
Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. II. moving soliton	2016-05-25	Paper
Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods	2013-04-22	Paper
Instability of the finite-difference split-step method on the background of a soliton of the nonlinear Schrodinger equation	2012-08-02	Paper
Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation	2012-05-21	Paper
Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities	2011-06-17	Paper
Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves	2010-05-19	Paper
Conjugate gradient method for finding fundamental solitary waves	2010-02-05	Paper
A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity	2007-11-01	Paper
A mode elimination technique to improve convergence of iteration methods for finding solitary waves	2007-11-01	Paper
Persistent oscillations of scalar and vector dispersion-managed solitons	2001-07-17	Paper
https://portal.mardi4nfdi.de/entity/Q4491340	2000-07-25	Paper
Non-integrability of equations governing pulse propagation in dispersion-managed optical fibers	2000-03-08	Paper
The squared eigenfunctions of the massive Thirring model in laboratory coordinates	1997-05-19	Paper
Variational method: How it can generate false instabilities	1997-01-22	Paper

Research outcomes over time

Doctoral students

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