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Table 2 Adjoint table of the Lie algebra of equation ( 1 )

From: On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system

Ad

X 1

X 2

X 3

X 4

X 1

X 1

X 2

X 3

−3ε X 1 + X 4

X 2

X 1

X 2

X 3

−ε X 2 + X 4

X 3

X 1

X 2

X 3

4ε X 3 + X 4

X 4

3 e ε X 1

e ε X 2

e − 4 ε X 3

X 4