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1

Physically corrected Ablowitz-Ladik model and its application to the Peierls-Nabarro problem

Oleksiy O. Vakhnenko, Vyacheslav O. Vakhnenko

Journal:

Physics Letters A

Year:

1995

Language:

english

File:

PDF, 526 KB

english, 1995

2

Intrinsic vibrations of the planar orientation-translational stripe-structures

Oleksiy O. Vakhnenko

Journal:

Physics Letters A

Year:

1994

Language:

english

File:

PDF, 280 KB

english, 1994

3

Physically corrected Ablowitz-Ladik model and its application to the Peierls-Nabarro problem

Oleksiy O. Vakhnenko, Vyacheslav O. Vakhnenko

Journal:

Physics Letters A

Year:

1994

Language:

english

File:

PDF, 326 KB

english, 1994

4

Bend-imitating approach to quantum wire-like nanostructures

Oleksiy O. Vakhnenko

Journal:

Physics Letters A

Year:

1997

Language:

english

File:

PDF, 371 KB

english, 1997

5

Slalom soliton dynamics on a ladder lattice with zig-zag distributed impurities

Oleksiy O. Vakhnenko, Michael J. Velgakis

Journal:

Physics Letters A

Year:

2000

Language:

english

File:

PDF, 180 KB

english, 2000

6

Planar quantum wire-like nanostructures in a perpendicular magnetic field

Oleksiy O. Vakhnenko

Journal:

Physics Letters A

Year:

1998

Language:

english

File:

PDF, 473 KB

english, 1998

7

Bend-imitating models of abruptly bent electron waveguides

Vakhnenko, Oleksiy O.

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 418 KB

english, 2011

8

New Integrable Nonlinear Lattice Systems with Two Adjustable Coupling Parameters

Vakhnenko, Oleksiy O.

Journal:

Nonlinear Engineering

Year:

2013

Language:

english

File:

PDF, 159 KB

english, 2013

9

Solitons in parametrically driven discrete nonlinear Schrödinger systems with the exploding range of intersite interactions

Vakhnenko, Oleksiy O.

Journal:

Journal of Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 434 KB

english, 2002

10

Low-amplitude instability as a premise for the spontaneous symmetry breaking in the new integrable semidiscrete nonlinear system

Vakhnenko, Oleksiy O., Vakhnenko, Vyacheslav O.

Journal:

Chaos, Solitons & Fractals

Year:

2014

Language:

english

File:

PDF, 705 KB

english, 2014

11

SEMIDISCRETE INTEGRABLE NONLINEAR SYSTEMS GENERATED BY THE NEW FOURTH-ORDER SPECTRAL OPERATOR: LOCAL CONSERVATION LAWS

VAKHNENKO, OLEKSIY O.

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 254 KB

english, 2011

12

SEMIDISCRETE INTEGRABLE NONLINEAR SYSTEMS GENERATED BY THE NEW FOURTH ORDER SPECTRAL OPERATOR: SYSTEMS OF OBVERSE TYPE

VAKHNENKO, OLEKSIY O.

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 218 KB

english, 2011

13

Three-component nonlinear dynamical system generated by the new third-order discrete spectral problem

Vakhnenko, Oleksiy O

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2003

Language:

english

File:

PDF, 326 KB

english, 2003

14

Solitons on a zigzag-runged ladder lattice

Vakhnenko, Oleksiy O.

Journal:

Physical Review E

Year:

2001

Language:

english

File:

PDF, 60 KB

english, 2001

15

Multimode soliton dynamics in perturbed ladder lattices

Vakhnenko, Oleksiy O., Velgakis, Michael J.

Journal:

Physical Review E

Year:

2000

Language:

english

File:

PDF, 156 KB

english, 2000

16

Nonlinear model of intramolecular excitations on a multileg ladder lattice

Vakhnenko, Oleksiy O.

Journal:

Physical Review E

Year:

1999

Language:

english

File:

PDF, 52 KB

english, 1999

17

Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars

Vakhnenko, Oleksiy O., Vakhnenko, Vyacheslav O., Shankland, Thomas J., Ten Cate, James A.

Journal:

Physical Review E

Year:

2004

Language:

english

File:

PDF, 215 KB

english, 2004

18

Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice

Vakhnenko, Oleksiy O.

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 630 KB

english, 2010

19

Spectral and transport characteristics of an arbitrarily bent planar quantum electron guide

Vakhnenko, Oleksiy O.

Journal:

Physical Review B

Year:

1995

Language:

english

File:

PDF, 368 KB

english, 1995

20

Soft-ratchet modeling of end-point memory in the nonlinear resonant response of sedimentary rocks

Vakhnenko, Oleksiy O., Vakhnenko, Vyacheslav O., Shankland, Thomas J.

Journal:

Physical Review B

Year:

2005

Language:

english

File:

PDF, 185 KB

english, 2005

21

Modeling of stress-strain dependences for Berea sandstone under quasistatic loading

Vakhnenko, Vyacheslav O., Vakhnenko, Oleksiy O., TenCate, James A., Shankland, Thomas J.

Journal:

Physical Review B

Year:

2007

Language:

english

File:

PDF, 341 KB

english, 2007

22

Four-Wave Semidiscrete Nonlinear Integrable System with PT -Symmetry

Vakhnenko, Oleksiy O.

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 265 KB

english, 2013

23

Enigma of probability amplitudes in Hamiltonian formulation of integrable semidiscrete nonlinear Schrödinger systems

Vakhnenko, Oleksiy O.

Journal:

Physical Review E

Year:

2008

Language:

english

File:

PDF, 144 KB

english, 2008

24

Transverse and longitudinal dynamics of nonlinear intramolecular excitations on multileg ladder lattices

Vakhnenko, Oleksiy O., Velgakis, Michael J.

Journal:

Physical Review E

Year:

2000

Language:

english

File:

PDF, 128 KB

english, 2000

25

Integrable Nonlinear Schrödinger System on a Triangular-Lattice Ribbon

Vakhnenko, Oleksiy O.

Journal:

Journal of the Physical Society of Japan

Year:

2015

Language:

english

File:

PDF, 272 KB

english, 2015

26

Nonlinear integrable model of Frenkel-like excitations on a ribbon of triangular lattice

Vakhnenko, Oleksiy O.

Journal:

Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 685 KB

english, 2015

27

Integrable nonlinear ladder system with background-controlled intersite resonant coupling

Vakhnenko, Oleksiy O

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 215 KB

english, 2006

28

[AIP INNOVATIONS IN NONLINEAR ACOUSTICS: ISNA17 - 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum - State College, Pennsylvania (USA) (18-22 July 2005)] AIP Conference Proceedings - Soft-ratchet modeling of slow dynamics in the nonlinear resonant response of sedimentary rocks

Vakhnenko, Oleksiy O.

Year:

2006

Language:

english

File:

PDF, 110 KB

english, 2006

29

Nonlinear beating excitations on ladder lattice

Vakhnenko, Oleksiy O

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1999

Language:

english

File:

PDF, 204 KB

english, 1999

30

Multicomponent nonlinear dynamical systems inspired by the Toda lattice

Vakhnenko, Oleksiy O

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2001

Language:

english

File:

PDF, 109 KB

english, 2001

31

Coupling-governed metamorphoses of the integrable nonlinear Schrödinger system on a triangular-lattice ribbon

Vakhnenko, Oleksiy O.

Journal:

Physics Letters A

Year:

2016

Language:

english

File:

PDF, 296 KB

english, 2016

32

Asymmetric canonicalization of the integrable nonlinear Schrödinger system on a triangular-lattice ribbon

Vakhnenko, Oleksiy O.

Journal:

Applied Mathematics Letters

Year:

2017

Language:

english

File:

PDF, 475 KB

english, 2017

33

Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling

Vakhnenko, Oleksiy O.

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 703 KB

english, 2017

34

Symmetry-broken canonizations of the semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site coupling

Vakhnenko, Oleksiy O.

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 426 KB

english, 2016

35

Six-component semi-discrete integrable nonlinear Schrödinger system

Vakhnenko, Oleksiy O.

Journal:

Letters in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 465 KB

english, 2018

36

Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell

Vakhnenko, Oleksiy O.

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 428 KB

english, 2018

37

Nonlinear integrable system of coherently coupled excitations on an intercalated ladder lattice

Vakhnenko, Oleksiy O.

Journal:

The European Physical Journal Plus

Year:

2018

Language:

english

File:

PDF, 431 KB

english, 2018

38

AIP Conference Proceedings [Author(s) 7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018) - Kyiv, Ukraine (28–31 August 2018)] - Effect of lattice ribbonization via the background-controlled inter-site resonant interactions in nonlinear integrable systems

Vakhnenko, Oleksiy O.

Year:

2018

Language:

english

File:

PDF, 605 KB

english, 2018

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