Evolution of sine-Gordon equation kinks in the presence of spatial perturbations
Using numerical methods, the influence of damping, external power and spatial modulations of parameters on Kinks of the modified sine-Gordon equation is investigated. Changes of the kink structure, velocity and width at the moment of intersection of localization field of the spatial modulations of p...
Saved in:
| Published in: | Functional Materials |
|---|---|
| Date: | 2006 |
| Main Authors: | Ekomasov, E.G., Shabalin, M.A., Azamatov, Sh.A., Buharmetov, A.F. |
| Format: | Article |
| Language: | English |
| Published: |
НТК «Інститут монокристалів» НАН України
2006
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/134186 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Evolution of sine-Gordon equation kinks in the presence of spatial perturbations / E.G. Ekomasov, M.A. Shabalin, Sh.A. Azamatov, A.F. Buharmetov // Functional Materials. — 2006. — Т. 13, № 3. — С. 443-446. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
by: Nakanishi, T., et al.
Published: (2010)
by: Nakanishi, T., et al.
Published: (2010)
Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
by: Kondo, K.
Published: (2013)
by: Kondo, K.
Published: (2013)
Kinetic equation for solitons in sine-Gordon and nonlinear Schrödinger equations
by: Baryakhtar, I.V.
Published: (1999)
by: Baryakhtar, I.V.
Published: (1999)
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
by: Kelmer, Filipe, et al.
Published: (2024)
by: Kelmer, Filipe, et al.
Published: (2024)
On the Sine-Gordon Equation with a Self-Consistent Source of the Integral Type
by: Khasanov, A.B., et al.
Published: (2006)
by: Khasanov, A.B., et al.
Published: (2006)
Nonlinear oscillations of topological structures in the sine-Gordon systems
by: M. M. Bogdan, et al.
Published: (2021)
by: M. M. Bogdan, et al.
Published: (2021)
Sine-gordon transformations in nonequilibrium systems of Brownian particles
by: Skrypnik, V.I.
Published: (1997)
by: Skrypnik, V.I.
Published: (1997)
Sine-gordon transformations in nonequilibrium systems of Brownian particles
by: Skrypnik, W. I., et al.
Published: (1997)
by: Skrypnik, W. I., et al.
Published: (1997)
On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation
by: Kappeler, Thomas, et al.
Published: (2018)
by: Kappeler, Thomas, et al.
Published: (2018)
On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation
by: Th. Kappeler, et al.
Published: (2018)
by: Th. Kappeler, et al.
Published: (2018)
On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation
by: Kappeler, T., et al.
Published: (2018)
by: Kappeler, T., et al.
Published: (2018)
Periodic travelling waves in discrete sine-Gordon equation on 2D—lattice
by: S. M. Bak
Published: (2013)
by: S. M. Bak
Published: (2013)
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System
by: Demskoi, Dmitry K.
Published: (2021)
by: Demskoi, Dmitry K.
Published: (2021)
Generation of wave packets and breathers by oscillating kinksin the sine-Gordon system
by: M. M. Bogdan, et al.
Published: (2021)
by: M. M. Bogdan, et al.
Published: (2021)
On construction of asymptotic solution of the perturbed Klein-Gordon equation
by: Mitropolskiy, Yu. A., et al.
Published: (1995)
by: Mitropolskiy, Yu. A., et al.
Published: (1995)
Integration of a nonlinear sine-Gordon–Liouville-type equation in the class of periodic infinite-gap functions
by: Khasanov, A. B., et al.
Published: (2024)
by: Khasanov, A. B., et al.
Published: (2024)
Integration of a nonlinear sine-Gordon–Liouville-type equation in the class of periodic infinite-gap functions
by: A. B. Khasanov, et al.
Published: (2024)
by: A. B. Khasanov, et al.
Published: (2024)
Kink macroinstabilities and resistive layer structure of internal kinks in cylindrical plasma
by: Gurin, A.A.
Published: (2009)
by: Gurin, A.A.
Published: (2009)
Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
by: Nakazono, Nobutaka
Published: (2022)
by: Nakazono, Nobutaka
Published: (2022)
The Existence of Heteroclinic Travelling Waves in the Discrete Sine-Gordon Equation with Nonlinear Interaction on a 2D-Lattice
by: Bak, S.
Published: (2018)
by: Bak, S.
Published: (2018)
The Existence of Heteroclinic TravellingWaves in the Discrete Sine-Gordon Equation with Nonlinear Interaction on a 2D-Lattice
by: S. Bak
Published: (2018)
by: S. Bak
Published: (2018)
Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type
by: Anco, S.C.
Published: (2006)
by: Anco, S.C.
Published: (2006)
On the application of Ateb-functions to the construction of an asymptotic solution of the perturbed nonlinear Klein-Gordon equation
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
Properties of the "thin" structure domain walls in rare-earth ortho-ferrites
by: Ekomasov, E.G., et al.
Published: (2004)
by: Ekomasov, E.G., et al.
Published: (2004)
Nonmonotonicity of kneading invariants in the family of kinked maps
by: Volkova, O.Yu.
Published: (2005)
by: Volkova, O.Yu.
Published: (2005)
Transresonant Evolution of Spherical Waves Governed by the Perturbed Wave Equation
by: Bhattacharyya, D., et al.
Published: (2002)
by: Bhattacharyya, D., et al.
Published: (2002)
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
by: Vladimirov, V.A., et al.
Published: (2006)
by: Vladimirov, V.A., et al.
Published: (2006)
Moduli Space for Kink Collisions with Moving Center of Mass
by: Adam, Christoph, et al.
Published: (2023)
by: Adam, Christoph, et al.
Published: (2023)
Phonon-kink scattering effect on the low-temperature thermal transport in solids
by: van Ostaay, J.A.M., et al.
Published: (2018)
by: van Ostaay, J.A.M., et al.
Published: (2018)
Eigenfunctions of the Cosine and Sine Transforms
by: V. Katsnelson
Published: (2013)
by: V. Katsnelson
Published: (2013)
Eigenfunctions of the Cosine and Sine Transforms
by: Katsnelson, V.
Published: (2013)
by: Katsnelson, V.
Published: (2013)
FD-method for solving the nonlinear Klein–Gordon equation
by: Dragunov, D.V., et al.
Published: (2012)
by: Dragunov, D.V., et al.
Published: (2012)
Generation and Motion of Dislocation kinks under the Influence of External Pulse Loading
by: I. N. Karnaukhov, et al.
Published: (2013)
by: I. N. Karnaukhov, et al.
Published: (2013)
On weak convergence of solutions of random perturbed evolution equations
by: Kolomiets, Yu. V., et al.
Published: (1995)
by: Kolomiets, Yu. V., et al.
Published: (1995)
FD-method for solving the nonlinear Klein - Gordon equation
by: Dragunov, D. V., et al.
Published: (2012)
by: Dragunov, D. V., et al.
Published: (2012)
Compatible Approximation of Classes of Kinks with Kernels Poisson Sums of Fourier in Metric Space Lp
by: V. A. Sorych, et al.
Published: (2017)
by: V. A. Sorych, et al.
Published: (2017)
Integral of an extension of the sine addition formula
by: M. Tial
Published: (2023)
by: M. Tial
Published: (2023)
Tunneling nucleation of kink pairs on dislocations in the Peierls potential relief with random distortions
by: B. V. Petukhov
Published: (2018)
by: B. V. Petukhov
Published: (2018)
Remarks about Lp — Lq estimates for solutions of the Klein — Gordon equations
by: Markovsky , A. I., et al.
Published: (1992)
by: Markovsky , A. I., et al.
Published: (1992)
On the low-temperature anomalies in the thermal conductivity of plastically deformed crystals due to phonon–kink scattering
by: van Ostaay, J.A.M., et al.
Published: (2012)
by: van Ostaay, J.A.M., et al.
Published: (2012)
Similar Items
-
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
by: Nakanishi, T., et al.
Published: (2010) -
Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
by: Kondo, K.
Published: (2013) -
Kinetic equation for solitons in sine-Gordon and nonlinear Schrödinger equations
by: Baryakhtar, I.V.
Published: (1999) -
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
by: Kelmer, Filipe, et al.
Published: (2024) -
On the Sine-Gordon Equation with a Self-Consistent Source of the Integral Type
by: Khasanov, A.B., et al.
Published: (2006)