Integrability Analysis of a Two-Component Burgers-Type Hierarchy

Document Type

Article

Publication Date

7-1-2015

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.

Identifier

84945156318 (Scopus)

Publication Title

Ukrainian Mathematical Journal

External Full Text Location

https://doi.org/10.1007/s11253-015-1072-6

e-ISSN

15739376

ISSN

00415995

First Page

167

Last Page

185

Issue

2

Volume

67

Grant

110T558

Fund Ref

National Academy of Sciences of Ukraine

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