首页|Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system
Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system
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In this paper,the(1+1)-dimensional classical Boussinesq-Burgers(CBB)system is extended to a(4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm.The Lax integrability,symmetry integrability and a large number of reduced systems of the new higher-dimensional system are given.Meanwhile,for illustration,an exact solution of a(1+1)-dimensional reduced system is constructed from the viewpoint of Lie symmetry analysis and the power series method.
classical Boussinesq-Burgers systemhigher-dimensional systemdeformation algorithmLax pairconservation law
Xiaoyu Cheng、Qing Huang
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School of Mathematics,Northwest University,Xi'an 710127,China
National Natural Science Foundation of ChinaNational Natural Science Foundation of China
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