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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)...
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
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...
Multiple Soliton-Like Solutions and Similarity Reductions of a Spherical Kadomtsev-Petviashvili Equation from
Plasma Physics
SKP equation similarity reduction soliton-like solution
2007/8/15
2007Vol.47No.1pp.155-160DOI:
Multiple Soliton-Like Solutions and Similarity Reductions of a Spherical Kadomtsev-Petviashvili Equation from
Plasma Physics
LI Ye-Zhou,1,2 LIU Jian-G...
Some Special Types of Multisoliton Solutions of the Modified
Kadomtsev-Petviashvili Equation
mKP equation the standard truncated
Painlevé analysis multisoliton solution
2007/8/15
2003Vol.40No.3pp.262-264DOI:
Some Special Types of Multisoliton Solutions of the Modified
Kadomtsev-Petviashvili Equation
HUANG Wen-Hua,1,2 YU Dang-Jun,1,3 and JIN Mei-Zhen4
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