Integrability Analysis of a Two-Component Burgers-Type Hierarchy

D. Blackmore; A. K. Prykarpatsky; E. Özçağ; K. Soltanov

doi:10.1007/s11253-015-1072-6

Integrability Analysis of a Two-Component Burgers-Type Hierarchy

D. Blackmore, A. K. Prykarpatsky, E. Özçağ, K. Soltanov

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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 of the Burgers–Korteweg–de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.

Original language	English (US)
Pages (from-to)	167-185
Number of pages	19
Journal	Ukrainian Mathematical Journal
Volume	67
Issue number	2
DOIs	https://doi.org/10.1007/s11253-015-1072-6
State	Published - Jul 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "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 of the Burgers–Korteweg–de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.",

author = "D. Blackmore and Prykarpatsky, {A. K.} and E. {\"O}z{\c c}ağ and K. Soltanov",

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AU - Prykarpatsky, A. K.

AU - Özçağ, E.

AU - Soltanov, K.

PY - 2015/7/1

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N2 - 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 of the Burgers–Korteweg–de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.

AB - 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 of the Burgers–Korteweg–de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.

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Integrability Analysis of a Two-Component Burgers-Type Hierarchy

Abstract

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