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Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations

Entropy (Basel, Switzerland), 2022-11, Vol.24 (11), p.1653

Vitanov, Nikolay K

2022

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Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics

Entropy (Basel, Switzerland), 2023-03, Vol.25 (3), p.438

2023

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Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods

Entropy (Basel, Switzerland), 2020-12, Vol.23 (1), p.10

2020

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On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

Axioms, 2023-12, Vol.12 (12), p.1106

Vitanov, Nikolay K.

2023

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News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains

Entropy (Basel, Switzerland), 2024-01, Vol.26 (1), p.5

2024

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Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity

Entropy (Basel, Switzerland), 2021-12, Vol.23 (12), p.1624

2021

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On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions

Entropy (Basel, Switzerland), 2020-10, Vol.22 (11), p.1240

2020

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On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors

Entropy (Basel, Switzerland), 2020-12, Vol.22 (12), p.1388

2020

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Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics

Computation, 2023-07, Vol.11 (7), p.129

2023

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On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations

Computation, 2021-10, Vol.9 (10), p.104

2021

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A Mathematical Theory of Motion of Researchers between Research Organizations

Mathematics (Basel), 2024-07, Vol.12 (13), p.1984

2024

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Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms

Entropy (Basel, Switzerland), 2020-05, Vol.22 (5), p.553

2020

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Science Dynamics and Research Production: Indicators, Indexes, Statistical Laws and Mathematical Models

Vitanov, Nikolay K

1st ed. 2016 edition., 2016

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Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

Communications in nonlinear science & numerical simulation, 2010-08, Vol.15 (8), p.2050-2060

Vitanov, Nikolay K.

2010

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Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs

Communications in nonlinear science & numerical simulation, 2011-03, Vol.16 (3), p.1176-1185

Vitanov, Nikolay K.

2011

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Primacy and ranking of UEFA soccer teams from biasing organization rules

Physica scripta, 2014-10, Vol.89 (10), p.108002-12

2014

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On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation

Communications in nonlinear science & numerical simulation, 2011-11, Vol.16 (11), p.4215-4231

Vitanov, Nikolay K.

2011

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On the motion of substance in a channel of a network and human migration

Physica A, 2018-01, Vol.490, p.1277-1294

2018

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MODIFIED METHOD OF SIMPLEST EQUATION FOR OBTAINING EXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS: HISTORY, RECENT DEVELOPMENTS OF THE METHODOLOGY AND STUDIED CLASSES OF EQUATIONS

Journal of theoretical and applied mechanics, 2019-01, Vol.49 (2)

K. VITANOV, NIKOLAY

2019

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Population dynamics in presence of state dependent fluctuations

Computers & mathematics with applications (1987), 2014-11, Vol.68 (9), p.962-971

2014

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Modified method of simplest equation and its application to nonlinear PDEs

Applied mathematics and computation, 2010-07, Vol.216 (9), p.2587-2595

2010

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Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics

Communications in nonlinear science & numerical simulation, 2010-10, Vol.15 (10), p.2836-2845

2010

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Test of two hypotheses explaining the size of populations in a system of cities

Journal of applied statistics, 2015-12, Vol.42 (12), p.2686-2693

2015

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Verhulst–Lotka–Volterra (VLV) model of ideological struggle

Physica A, 2010-11, Vol.389 (21), p.4970-4980

2010

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Influence of polymer swelling and dissolution into food simulants on the release of graphene nanoplates and carbon nanotubes from poly(lactic) acid and polypropylene composite films

Journal of applied polymer science, 2017-11, Vol.134 (44), p.n/a

2017

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Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations

Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics

Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods

On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations

News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains

Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity

On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions

On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors

Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics

On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations

A Mathematical Theory of Motion of Researchers between Research Organizations

Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms

Science Dynamics and Research Production: Indicators, Indexes, Statistical Laws and Mathematical Models

Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs

Primacy and ranking of UEFA soccer teams from biasing organization rules

On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation

On the motion of substance in a channel of a network and human migration

MODIFIED METHOD OF SIMPLEST EQUATION FOR OBTAINING EXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS: HISTORY, RECENT DEVELOPMENTS OF THE METHODOLOGY AND STUDIED CLASSES OF EQUATIONS

Population dynamics in presence of state dependent fluctuations

Modified method of simplest equation and its application to nonlinear PDEs

Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics

Test of two hypotheses explaining the size of populations in a system of cities

Verhulst–Lotka–Volterra (VLV) model of ideological struggle

Influence of polymer swelling and dissolution into food simulants on the release of graphene nanoplates and carbon nanotubes from poly(lactic) acid and polypropylene composite films

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