Integrability Analysis of a Two-Component Burgers-Type Hierarchy
The Lax integrability of a two-component polynomial Burgers-type dynamical system is analyzed by using a differential-algebraic approach. Its linear adjoint matrix Lax representation is constructed. A related recursive operator and an infinite hierarchy of nonlinear Lax integrable dynamical systems...
Saved in:
| Date: | 2015 |
|---|---|
| Main Authors: | Blackmore, D., Özçağ, E., Prykarpatsky, A. K., Soltanov, K. N., Блекмор, Д., Озчаг, Е., Прикарпатський, А. К., Солтанов, К. Н. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2015
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1970 |
| 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
Integrability Analysis of a Two-Component Burgers-Type Hierarchy
by: D. L. Blackmore, et al.
Published: (2015)
by: D. L. Blackmore, et al.
Published: (2015)
Hierarchy of the matrix Burgers equations and integrable reductions in the Davey-Stewartson system
by: Samoilenko, V. G., et al.
Published: (1998)
by: Samoilenko, V. G., et al.
Published: (1998)
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
by: Sakovich, S.
Published: (2011)
by: Sakovich, S.
Published: (2011)
The discrete Schredinger type hierarchies of nonlinear dynamical system and their by-Hamiltonian integrability
by: A. K. Prykarpatski, et al.
Published: (2013)
by: A. K. Prykarpatski, et al.
Published: (2013)
The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme
by: Prykarpatsky, A.K., et al.
Published: (2017)
by: Prykarpatsky, A.K., et al.
Published: (2017)
Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation
by: Soltanov, K. N., et al.
Published: (2015)
by: Soltanov, K. N., et al.
Published: (2015)
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
by: Dimakis, A., et al.
Published: (2009)
by: Dimakis, A., et al.
Published: (2009)
On the completely integrable calogero-type discretizations of Lax-integrable nonlinear dynamical systems and related coadjoint Markov-type orbits
by: Prykarpatsky, A. K., et al.
Published: (2016)
by: Prykarpatsky, A. K., et al.
Published: (2016)
Dispersionless Hirota Equations of Two-Component BKP Hierarchy
by: Takasaki, K.
Published: (2006)
by: Takasaki, K.
Published: (2006)
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations
by: Blackmore, D., et al.
Published: (2013)
by: Blackmore, D., et al.
Published: (2013)
Hopf Algebras and Integrable Flows Related to the Heisenberg–Weil Coalgebra
by: Blackmore, D., et al.
Published: (2004)
by: Blackmore, D., et al.
Published: (2004)
A quadratic completely integrated Burgers-type nonlinear model: conservation laws and Poisson structures
by: Kokovska, Ya., et al.
Published: (2025)
by: Kokovska, Ya., et al.
Published: (2025)
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
by: Kiselev, A.V., et al.
Published: (2006)
by: Kiselev, A.V., et al.
Published: (2006)
The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme
by: A. K. Prykarpatski, et al.
Published: (2017)
by: A. K. Prykarpatski, et al.
Published: (2017)
Integrable hierarchy of higher nonlinear Schrödinger type equations
by: Kundu, A.
Published: (2006)
by: Kundu, A.
Published: (2006)
Galilei-invariant higher-order equations of burgers and korteweg-de vries types
by: Boiko, V. M., et al.
Published: (1996)
by: Boiko, V. M., et al.
Published: (1996)
Bargmann type finite-dimensional reductions of the Lax integrable supersymmetric Boussinesq hierarchy and their integrability
by: Ye. Hentosh
Published: (2015)
by: Ye. Hentosh
Published: (2015)
Bargmann type finite-dimensional reductions of the Lax integrable supersymmetric Boussinesq hierarchy and their integrability
by: Hentosh, O.E.
Published: (2015)
by: Hentosh, O.E.
Published: (2015)
Negative Times of the Davey-Stewartson Integrable Hierarchy
by: Pogrebkov, Andrei K.
Published: (2021)
by: Pogrebkov, Andrei K.
Published: (2021)
An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
by: Prykarpatsky, A. K., et al.
Published: (2008)
by: Prykarpatsky, A. K., et al.
Published: (2008)
Theory
of multidimensional Delsarte – Lions transmutation operators. I
by: Blackmore, D., et al.
Published: (2018)
by: Blackmore, D., et al.
Published: (2018)
Theory
of multidimensional Delsarte – Lions transmutation operators. II
by: Blackmore, D., et al.
Published: (2019)
by: Blackmore, D., et al.
Published: (2019)
Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems
by: Hentosh, О. Ye., et al.
Published: (2004)
by: Hentosh, О. Ye., et al.
Published: (2004)
Bosonizations of sl₂ and Integrable Hierarchies
by: Bakalov, B., et al.
Published: (2015)
by: Bakalov, B., et al.
Published: (2015)
The Exponential Cubic B-spline Algorithm for Burgers’ Equation
by: Ozlem Ersoya,, et al.
Published: (2023)
by: Ozlem Ersoya,, et al.
Published: (2023)
Limiting distributions of the solutions of the many-dimensional Bürgers equation with random initial data. II
by: Leonenko, N. N., et al.
Published: (1994)
by: Leonenko, N. N., et al.
Published: (1994)
Limiting distributions of the solutions of the many-dimensional Bürgers equation with random initial data. I
by: Leonenko, N. N., et al.
Published: (1994)
by: Leonenko, N. N., et al.
Published: (1994)
On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
by: Aratyn, H., et al.
Published: (2006)
by: Aratyn, H., et al.
Published: (2006)
Hopf algebras and integrable flows related to the Heisenberg–Weil coalgebra
by: Blackmore, D, et al.
Published: (2004)
by: Blackmore, D, et al.
Published: (2004)
Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation
by: Soltanov, K.N.
Published: (2015)
by: Soltanov, K.N.
Published: (2015)
Integrability analysis of regular and fractional Blackmore-Samulyak-Rosato fields
by: Blackmore, D., et al.
Published: (2010)
by: Blackmore, D., et al.
Published: (2010)
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
by: Pavlov, M.V., et al.
Published: (2009)
by: Pavlov, M.V., et al.
Published: (2009)
Non-Gaussian limit distributions of solutions of the many-dimensional Bürgers equation with random initial data
by: Li, Zhanbing, et al.
Published: (1995)
by: Li, Zhanbing, et al.
Published: (1995)
A generalized hydrodynamical Gurevich-Zybin equation of Riemann type and its Lax type integrability
by: Pavlov, M.V., et al.
Published: (2010)
by: Pavlov, M.V., et al.
Published: (2010)
Integrable Hierarchy of the Quantum Benjamin-Ono Equation
by: Nazarov, M., et al.
Published: (2013)
by: Nazarov, M., et al.
Published: (2013)
Global Existence and Long-Term Behavior of a Nonlinear Schrцdinger-Type Equation
by: K. N. Soltanov
Published: (2015)
by: K. N. Soltanov
Published: (2015)
Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy
by: Svinin, A.K.
Published: (2006)
by: Svinin, A.K.
Published: (2006)
The exponential twice continuously differentiable $ B$-spline algorithm
for Burgers’ equation
by: Adar, N., et al.
Published: (2018)
by: Adar, N., et al.
Published: (2018)
Almost Menger property in bitopological spaces
by: Eysen, A. F., et al.
Published: (2016)
by: Eysen, A. F., et al.
Published: (2016)
The Hierarchy of Realities in the Ontology of Conflict (to the philosophical analysis of Russian-Ukrainian conflict)
by: K. Pryazhentseva
Published: (2017)
by: K. Pryazhentseva
Published: (2017)
Similar Items
-
Integrability Analysis of a Two-Component Burgers-Type Hierarchy
by: D. L. Blackmore, et al.
Published: (2015) -
Hierarchy of the matrix Burgers equations and integrable reductions in the Davey-Stewartson system
by: Samoilenko, V. G., et al.
Published: (1998) -
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
by: Sakovich, S.
Published: (2011) -
The discrete Schredinger type hierarchies of nonlinear dynamical system and their by-Hamiltonian integrability
by: A. K. Prykarpatski, et al.
Published: (2013) -
The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme
by: Prykarpatsky, A.K., et al.
Published: (2017)