Lie symmetry analysis, optimal system and conservation laws of a new (2+1)-dimensional KdV system
Mengmeng Wang,Shoufeng Shen,Lizhen Wang
Table 1.
The Adjoint Action of the Lie Group
H
6
on the Lie Algebra
L
6
.
Ad
V
1
V
2
V
3
V
4
V
5
V
6
V
1
V
1
V
2
${V}_{3}-\varepsilon {V}_{1}$
V
4
${V}_{5}-\varepsilon {V}_{1}$
V
6
V
2
V
1
V
2
${V}_{3}-4\varepsilon {V}_{2}$
V
4
V
5
V
6
V
3
${V}_{1}{{\rm{e}}}^{\varepsilon }$
${V}_{2}{{\rm{e}}}^{4\varepsilon }$
V
3
V
4
V
5
V
6
V
4
V
1
V
2
V
3
V
4
V
5
V
6
V
5
${V}_{1}{{\rm{e}}}^{\varepsilon }$
V
2
V
3
V
4
V
5
${V}_{6}{{\rm{e}}}^{-2\varepsilon }$
V
6
V
1
V
2
V
3
V
4
${V}_{5}-2\varepsilon {V}_{6}$
V
6