Nonlocal multiplication formulas for solutions of the sine-Gordon equation
Using Backlund autotransformations the chain of one-soliton solutions of sine-Gordon equation is obtained.
Saved in:
| Date: | 2006 |
|---|---|
| Author Affiliations: |
|
| Keywords: | keywords |
| Main Authors: | Blazhko, L., Блажко, Л. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2006
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/379 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |
|
Institution
Transactions of Institute of Mathematics of NAS of UkraineSimilar Items
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)
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)
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)
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)
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 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)
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)
Periodic travelling waves in discrete sine-Gordon equation on 2D—lattice
by: S. M. Bak
Published: (2013)
by: S. M. Bak
Published: (2013)
Integral of an extension of the sine addition formula
by: M. Tial
Published: (2023)
by: M. Tial
Published: (2023)
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)
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)
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 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)
Implementation of Multidigit Multiplication Basing on Discrete Cosine and Sine Transforms
by: A. M. Tereshchenko, et al.
Published: (2021)
by: A. M. Tereshchenko, et al.
Published: (2021)
Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions
by: V. Kapustyan, et al.
Published: (2024)
by: V. Kapustyan, et al.
Published: (2024)
The Multiplication Formulas of Weighted Quantum Cluster Functions
by: Chen, Zhimin, et al.
Published: (2023)
by: Chen, Zhimin, et al.
Published: (2023)
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)
Optimization of multidigit multiplication based on discrete transforms (Furie, cosine, sine) in parallel computational model
by: V. K. Zadiraka, et al.
Published: (2022)
by: V. K. Zadiraka, et al.
Published: (2022)
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
by: Tychynin, V., et al.
Published: (2007)
by: Tychynin, V., et al.
Published: (2007)
Nonlocal multipoint problem for an ordinary differential equation of order 2n with a multiple spectrum
by: Ya. O. Baranetskyi, et al.
Published: (2017)
by: Ya. O. Baranetskyi, et al.
Published: (2017)
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)
Standing Waves in Discrete Klein-Gordon Type Equations with Saturable Nonlinearities
by: S. M. Bak
Published: (2021)
by: S. M. Bak
Published: (2021)
Algorithmic aspects of software implementation of the FD-method for solving the Klein – Gordon equation
by: V. L. Makarov, et al.
Published: (2013)
by: V. L. Makarov, et al.
Published: (2013)
Klein-Gordon Equation as a Result of Wave Equation Averaging on the Riemannian Manifold of Complex Microstructure
by: Khrabustovskyi, A.V.
Published: (2007)
by: Khrabustovskyi, A.V.
Published: (2007)
Necessary generalization of Кlein-Gordon and Dirac equations and existence of particle generations
by: Kulish, Yu.V., et al.
Published: (2012)
by: Kulish, Yu.V., et al.
Published: (2012)
q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations
by: Kuroki, K.
Published: (2009)
by: Kuroki, K.
Published: (2009)
Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential
by: Shapovalov, A., et al.
Published: (2005)
by: Shapovalov, A., et al.
Published: (2005)
On partial solutions of one equation with multiple characteristics and some properties of the fundamental solution
by: Ju. Irgashev
Published: (2016)
by: Ju. Irgashev
Published: (2016)
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)
by: Kuznetsova, M.N., et al.
Published: (2012)
by: Kuznetsova, M.N., et al.
Published: (2012)
The nonlocal problem for fractal diffusion equation
by: Drin, Ya.M., et al.
Published: (2022)
by: Drin, Ya.M., et al.
Published: (2022)
The nonlocal problem for fractal diffusion equation
by: Ya. M. Drin, et al.
Published: (2022)
by: Ya. M. Drin, et al.
Published: (2022)
Variation formulas for solution of delay differential equations with mixed initial condition and delay perturbation
by: T. Tadumadze
Published: (2014)
by: T. Tadumadze
Published: (2014)
Similar Items
-
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) -
The Lattice Sine-Gordon Equation as a Superposition Formula for an NLS-Type System
by: Demskoi, Dmitry K.
Published: (2021) -
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)