Theory and Modern Applications
Table 3 Invariant of Eq. (1)
From: Lie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equation
Operator | y | w | u |
|---|---|---|---|
\({\alpha \nu }_{1}\) | t | u | w(y) |
\(\alpha {\nu }_{1}+{\nu }_{2}\) | x − αt | u | w(y) |
\(\alpha {\nu }_{1}+{\nu }_{3}\) | \(te^{-x/ \alpha }\) | \(ue^{x/ \alpha p}\) | \(w(y)e^{-x/ \alpha p}\) |