A new Lie algebra along with its induced Lie algebra and associated with applications

作者:Feng, Binlu*; Liu, Jiaqi
来源:Communications in Nonlinear Science & Numerical Simulation, 2011, 16(4): 1734-1741.
DOI:10.1016/j.cnsns.2010.07.024

摘要

A 3 x 3 Lie algebra His introduced whose induced Lie algebra by decomposition and linear combinations is obtained which may reduce to the Lie algebra given by AP Fordy andJ Gibbons By employing the induced Lie algebra and the zero curvature equation a kind of enlarged Boussinesq soliton hierarchy is produced Again making use of a subalgebra of the induced Lie algebra leads to the well known KdV hierarchy whose

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