Persons: Bakholdin, Igor Borisovich

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Bakholdin, Igor Borisovich

Statistics Math-Net.Ru
Total publications:	31
Scientific articles:	31
Presentations:	4

Number of views:
This page:	906
Abstract pages:	6167
Full texts:	2458
References:	745

Doctor of physico-mathematical sciences (2001)

Speciality:

01.02.05 (Mechanics of fluids, gases and plasmas)

Birth date:

18.03.1959

E-mail:

Keywords:

discontinuity, solitary wave, nonlinearity, dispersion, averaged equations, numerical simulation.

Subject:

The general theory of discontinuities in nondissipative dispersive models had been developed. Discontinuity in this theory is any stationary transition between uniform, periodic, quasiperiodic or stohastic states. The theory includes the method of prediction of the type of discontinuity, observation of this discontinuity in numerical experiment, evolution condition analysis, methods to determine boundary conditions for the discontinuity, derivation and solution of averaged equations for wave zones, methods to obtain the shock structure as a solution of ordinary equation systems. One method is based on representation of shock structure as the special soliton-like solution, methods to obtain solitary or generalized solitary wave solution had been developed also.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1981 (department of hydromechanics), post-graduate in 1984. Ph.D. thesis was defended in 1985. D.Sci. thesis was defended in 2001. A list of my works contains more than 40 titles. I am a participant of A. G. Kulikovski and A. A. Barmin scientific school.

In 2000 I was awarded the prize for the best article in journal of Applied Mathematics and Mechanics.

Main publications:

Bakholdin I. B., Il'ichev A. T. Radiation and modulational instability described by the fifth-order Korteweg–de Vries equation // Contemporary Mathematics, 1996, v. 200, p. 1–15.

https://www.mathnet.ru/eng/person17689

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/272970

	Publications in Math-Net.Ru	Citations
	2023
1.	I. B. Bakholdin, “Periodic and Solitary Waves and Nondissipative Discontinuity Structures in Electromagnetic Hydrodynamics in the Case of Wave Resonance”, Trudy Mat. Inst. Steklova, 322 (2023), 24–37 ; Proc. Steklov Inst. Math., 322 (2023), 18–31
2.	I. B. Bakholdin, “Discontinuity structures and solitary waves in electromagnetic hydrodynamics associated with linear and nonlinear Alfvén wave resonances”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023), 1894–1910 ; Comput. Math. Math. Phys., 63:11 (2023), 2123–2138
	2022
3.	I. B. Bakholdin, A. T. Ilichev, “Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma”, Wave Motion, 112 (2022), 102936–15	4
4.	I. B. Bakholdin, “Nondissipative discontinuity structures and solitary waves in solutions to equations of two-fluid plasma in the electromagnetic hydrodynamics approximation”, Zh. Vychisl. Mat. Mat. Fiz., 62:12 (2022), 2090–2104 ; Comput. Math. Math. Phys., 62:12 (2022), 2139–2153	2
	2021
5.	I. B. Bakholdin, “Analysis of two-fluid plasma in the electromagnetic hydrodynamics approximation and discontinuous structures in their solutions”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 458–474 ; Comput. Math. Math. Phys., 61:3 (2021), 436–452	5
	2020
6.	I. B. Bakholdin, “Equations describing waves in tubes with elastic walls and numerical methods with low scheme dissipation”, Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020), 1224–1238 ; Comput. Math. Math. Phys., 60:7 (2020), 1185–1198	2
	2017
7.	I. B. Bakholdin, “Investigation of models that describe wave propagation in fluid-filled and gas-filled tubes with elastic walls”, Keldysh Institute preprints, 2017, 051, 32 pp.
	2016
8.	I. B. Bakholdin, “Investigation of wave propagation in tubes with elastic walls and analysis of numerical methods”, Keldysh Institute preprints, 2016, 030, 32 pp.
9.	I. B. Bakholdin, A. V. Berezin, A. A. Kryukov, M. B. Markov, B. D. Plyushchenkov, D. N. Sadovnichii, “Electromagnetic wave in the medium with dispersion of dielectric permittivity”, Matem. Mod., 28:8 (2016), 97–111 ; Math. Models Comput. Simul., 9:2 (2017), 190–200	2
	2015
10.	I. B. Bakholdin, “Methods of investigation of wave propagation in fluid-filled tubes with elastic walls”, Keldysh Institute preprints, 2015, 070, 16 pp.
11.	I. B. Bakholdin, “Numerical study of solitary waves and reversible shock structures in tubes with controlled pressure”, Zh. Vychisl. Mat. Mat. Fiz., 55:11 (2015), 1921–1936 ; Comput. Math. Math. Phys., 55:11 (2015), 1884–1898	8
	2014
12.	I. B. Bakholdin, “Methods of investigation of solitary waves and reversible shock structures in elastic tubes”, Keldysh Institute preprints, 2014, 073, 32 pp.	2
13.	I. B. Bakholdin, “Methods of numerical analysis for investigation of reversible shock structures in media with complex dispersion”, Matem. Mod., 26:11 (2014), 23–28
	2013
14.	I. B. Bakholdin, “Methods of investigation, theory and classification of reversible shock structures in models of hydrodynamic type”, Keldysh Institute preprints, 2013, 030, 40 pp.	4
	2011
15.	I. B. Bakholdin, E. R. Egorova, “Study of magnetosonic solitary waves for the electron magnetohydrodynamics equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 515–528 ; Comput. Math. Math. Phys., 51:3 (2011), 477–489	8
	2010
16.	I. B. Bakholdin, “Methods of numerical investigation of magnetosonic solitary waves in plasma”, Keldysh Institute preprints, 2010, 038, 22 pp.
	2009
17.	I. B. Bakholdin, “Low-dissipative shock structures with internal non-dissipative shocks”, Keldysh Institute preprints, 2009, 037, 32 pp.
	2008
18.	I. B. Bakholdin, “Methods of analysis of resonance shock structures in low-dissipative media with dispersion”, Keldysh Institute preprints, 2008, 027, 26 pp.
	2006
19.	I. B. Bakholdin, “Methods of analysis of multi-wave shock structures in low-dissipative models with dispersion”, Keldysh Institute preprints, 2006, 091, 30 pp.
	2005
20.	I. B. Bakholdin, “Analysis methods for structures of dissipative and nondissipative jumps in dispersive systems”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 330–343 ; Comput. Math. Math. Phys., 45:2 (2005), 317–328	10
	2004
21.	I. B. Bakholdin, V. Ya. Tomashpol'skii, “Solitary Waves in the Model of a Predeformed Nonlinear Composite”, Differ. Uravn., 40:4 (2004), 527–538 ; Differ. Equ., 40:4 (2004), 571–582	6
	2000
22.	I. B. Bakholdin, “Methods of Investigation of the Non-Dissipative Shock with Emission”, Keldysh Institute preprints, 2000, 058
	1998
23.	I. B. Bakholdin, “Wave jumps described by the modified Schrödinger equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998), 1329–1348 ; Comput. Math. Math. Phys., 38:8 (1998), 1274–1292	9
	1997
24.	I. B. Bakholdin, “Nonstationary Solitary Wave Numerical Modeling”, Keldysh Institute preprints, 1997, 061
25.	I. B. Bakholdin, N. I. Kozlov, A. I. Kondrat'eva, “Numerical solution of Maxwell equations for action of electromagnetic pulse on human head”, Matem. Mod., 9:8 (1997), 29–35
	1996
26.	I. B. Bakholdin, “Investigation of Jumps and Solitary Waves in High-Order Dispersion Models”, Keldysh Institute preprints, 1996, 073
27.	I. B. Bakholdin, N. I. Kozlov, A. I. Kondrat'eva, “Numerical method of solution of Maxwell equations with jumps of electrophysical parameters of media”, Matem. Mod., 8:4 (1996), 105–112
	1994
28.	I. B. Bakholdin, N. I. Kozlov, A. I. Kondrat'eva, “Thin-slot formalism in three-dimensional computations of electromagnetic waves interaction with perfectly conductive solids”, Matem. Mod., 6:8 (1994), 92–104
	1993
29.	I. B. Bakholdin, N. I. Kozlov, A. I. Kondrat'eva, “The new algorithm of computing of three-dimensional Maxwell equations for system with several conductive solids of complicated form”, Matem. Mod., 5:10 (1993), 91–95
	1992
30.	I. B. Bakholdin, N. I. Kozlov, A. I. Kondrat'eva, “The method of computing of surface current and charge induced by electromagnetic field on solids of arbitrary form near earth surface”, Matem. Mod., 4:5 (1992), 80–84
	1991
31.	I. B. Bakholdin, N. I. Kozlov, A. I. Kondrat'eva, “The method of computing surface current and charge induced by electromagnetic field in free space on solids of arbitrary form”, Matem. Mod., 3:5 (1991), 74–80

Presentations in Math-Net.Ru

1.	Теория обратимых разрывов и ее применение для исследования решений уравнений электромагнитной гидродинамики I. B. Bakholdin International Conference "Mathematical Methods of Mechanics" dedicated to the anniversary of academician A. G. Kulikovskii March 22, 2023 15:10
2.	Структуры разрывов в решениях систем уравнений с исчезающей дисперсией коротких волн I. B. Bakholdin The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling" June 28, 2022 17:40
3.	Анализ уравнений, описывающих волны в трубах с упругими стенками I. B. Bakholdin All-Russian conference "Modern Problems of Continuum Mechanics" devoted to 110 anniversary of L. I. Sedov November 13, 2017 14:45
4.	Обратимые структуры разрывов в моделях гидродинамического типа I. B. Bakholdin International conference "Contemporary Problems of Mechanics" dedicated to the 80th anniversary of academician A. G. Kulikovskii March 19, 2013 15:20

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