Lax integrable higher dimensional Burgers systems via a deformation algorithm and conservation laws

Fa-ren Wang and S.Y. Lou

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: How to obtain higher-dimensional integrable systems from lower ones is a hot topic deserving deeply consideration. Recently, a deformation algorithm with the help of different conservation laws proposed by Lou, Hao and Jia has been applied to establish some higher-dimensional nonlinear systems. In this paper, the method is mainly used to establish the (2+1)-dimensional Burgers equation and higher-dimensional Burgers systems. The Lax pairs, integrable Burgers hierarchy, Lie point symmetries and kink soliton solutions are also investigated.

Keywords: Deformation algorithm; Lax integrability; High dimensional Burgers systems; (2+1)-dimensional Burgers hierarchy; Higher order symmetries; Lie point symmetry; Kink soliton solutions (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001546

DOI: 10.1016/j.chaos.2023.113253

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