Integration of a nonlinear sine-Gordon–Liouville-type equation in the class of periodic infinite-gap functions
UDC 517.9 The method of inverse spectral problem  is used to integrate a nonlinear sine-Gordon–Liouville-type equation in the class of periodic infinite-gap functions. The evolution of the spectral data for the periodic Dirac operator  is introduced in which th...
Saved in:
| Date: | 2024 |
|---|---|
| Main Authors: | Khasanov, A. B., Normurodov, Kh. N., Khasanov, T. G. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7610 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
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)
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)
On the Absolute Summability of Fourier Series of Almost Periodic Functions
by: Ju. Kh. Khasanov
Published: (2013)
by: Ju. Kh. Khasanov
Published: (2013)
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)
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)
Kinetic equation for solitons in sine-Gordon and nonlinear Schrödinger equations
by: Baryakhtar, I.V.
Published: (1999)
by: Baryakhtar, I.V.
Published: (1999)
On the complex modified Korteweg–de Vries equation with a self-consistent source and nonzero boundary conditions
by: Khasanov, A. B., et al.
Published: (2025)
by: Khasanov, A. B., et al.
Published: (2025)
On modified Korteweg – de Vries equation with a loaded term
by: A. B. Khasanov, et al.
Published: (2021)
by: A. B. Khasanov, et al.
Published: (2021)
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)
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)
On the Absolute Summability of Fourier Series of Almost Periodic Functions
by: Khasanov, Yu., et al.
Published: (2013)
by: Khasanov, Yu., et al.
Published: (2013)
Evolution of sine-Gordon equation kinks in the presence of spatial perturbations
by: Ekomasov, E.G., et al.
Published: (2006)
by: Ekomasov, E.G., et al.
Published: (2006)
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)
Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
by: Fateev, V.A.
Published: (2017)
by: Fateev, V.A.
Published: (2017)
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)
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 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)
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)
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)
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)
Isostasy and seismisity
by: Mishin, S. V., et al.
Published: (2018)
by: Mishin, S. V., et al.
Published: (2018)
Earth's gravity — the reason of earthquakes
by: S. V. Mishin, et al.
Published: (2019)
by: S. V. Mishin, et al.
Published: (2019)
Isostasy and seismisity
by: S. V. Mishin, et al.
Published: (2018)
by: S. V. Mishin, et al.
Published: (2018)
Standing Waves in Discrete Klein-Gordon Type Equations with Saturable Nonlinearities
by: Бак, Сергій
Published: (2021)
by: Бак, Сергій
Published: (2021)
Standing Waves in Discrete Klein-Gordon Type Equations with Saturable Nonlinearities
by: S. M. Bak
Published: (2021)
by: S. M. Bak
Published: (2021)
Delinquency as a manifestation of the pathopsychological state of the transformation of society during the transition from totalitarianism to democracy
by: E. A. Afonin, et al.
Published: (2023)
by: E. A. Afonin, et al.
Published: (2023)
New low-dimensional molecular conductors α′′-(BEDO-TTF)2Cl·3H2O and θ-(BDH-TTP)2(Br0.67Cl0.33)·3H2O
by: L. V. Zorina, et al.
Published: (2011)
by: L. V. Zorina, et al.
Published: (2011)
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)
Nonlinear optical response of the KDP single crystals with incorporated TiO₂ nanoparticles in visible range: effect of the nanoparticles concentration
by: Popov, A.S., et al.
Published: (2017)
by: Popov, A.S., et al.
Published: (2017)
On the absolute summability of Fourier series of almost-periodic besicovitch functions
by: Timan, M. F., et al.
Published: (2009)
by: Timan, M. F., et al.
Published: (2009)
On the Solvability of One Class of Nonlinear Integral Equations with a Noncompact Hammerstein–Stieltjes-Type Operator on the Semiaxis
by: Kh. A. Khachatrjan, et al.
Published: (2015)
by: Kh. A. Khachatrjan, et al.
Published: (2015)
Fourier cosine and sine transforms and generalized Lipschitz classes in the uniform metric
by: Volosivets, S.S., et al.
Published: (2012)
by: Volosivets, S.S., et al.
Published: (2012)
Fourier cosine and sine transforms and generalized Lipschitz classes in uniform metric
by: Golubov, B. I., et al.
Published: (2012)
by: Golubov, B. I., et al.
Published: (2012)
On modified Korteweg – de Vries equation with a loaded term
by: Khasanov , A. B., et al.
Published: (2021)
by: Khasanov , A. B., et al.
Published: (2021)
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)
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)
Similar Items
-
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) -
On the Sine-Gordon Equation with a Self-Consistent Source of the Integral Type
by: Khasanov, A.B., et al.
Published: (2006) -
On the Absolute Summability of Fourier Series of Almost Periodic Functions
by: Ju. Kh. Khasanov
Published: (2013) -
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
by: Nakanishi, T., et al.
Published: (2010) -
Nonlinear oscillations of topological structures in the sine-Gordon systems
by: M. M. Bogdan, et al.
Published: (2021)