Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems

نویسندگان

چکیده

We present a complete description of $2$-dimensional equations that arise as symmetry reductions fourf $3$-dimensional Lax-integrable equations: (1) the universal hierarchy equation~$u_{yy}=u_zu_{xy}-u_yu_{xz}$; (2) 3D rdDym equation $u_{ty}=u_xu_{xy}-u_yu_{xx}$; (3) The basic Veronese web $u_{ty}=u_tu_{xy}-u_yu_{tx}$; (4) Pavlov's $u_{yy}=u_{tx}+u_yu_{xx}-u_xu_{xy}$.

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2021

ISSN: ['1776-0852', '1402-9251']

DOI: https://doi.org/10.1080/14029251.2014.975532