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Symmetry Analysis for a Generalized Kadomtsev-Petviashvili Equation
generalized Kadomtsev-Petviashvili equation Lie algebra arbitrary functions
2010/4/2
A generalized Kadomtsev-Petviashvili equation (GKPE) $(u_t+u u_x + \beta(t)u +\gamma(t)u_{xxx})_x+\sigma(t)u_{yy}\ = \ 0$ is shown to admit an infinite-dimensional Lie group of symmetries when $\bt(t)...