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Table 2 Adjoint table of the Lie algebra of the system ( 1.1a ) and ( 1.1b )

From: On the solutions and conservation laws of the (1+1)-dimensional higher-order Broer-Kaup system

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X 1

X 2

X 3

X 1

X 1

X 2

X 3 +ϵ X 1

X 2

X 1

X 2

X 3 +3ϵ X 2

X 3

e − ϵ X 1

e − 3 ϵ X 2

X 3