搜索结果: 1-2 共查到“数学 Kadomtsev-Petviashvili equation”相关记录2条 . 查询时间(0.093 秒)
Symmetry Analysis for a Generalized Kadomtsev-Petviashvili Equation
generalized Kadomtsev-Petviashvili equation Lie algebra arbitrary functions
font style='font-size:12px;'>
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)...
On the dispersionless Kadomtsev-Petviashvili equation in n+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking
Kadomtsev-Petviashvili equation wave breaking n+1 dimensions
font style='font-size:12px;'>
2010/4/1
We study the (n+1)-dimensional generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equation, a universal equation describing the propagation of weakly nonlinear, quasi one dimensional wa...