EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP
EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP
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DOI：
10.1017/s0017089508004862
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发表时间：
2009-02
影响因子：
0.5
通讯作者：
C. Schiebold
中科院分区：
文献类型：
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作者：
C. Schiebold
摘要 我们研究了 Kadomtsev-Petviashvili 方程的非交换版本，并构造了一系列解，将孤子自然地推广到非交换设置。由此我们推导出标量以及矩阵-Kadomtsev-Petviashvili 方程的显式解公式，该方程仍然取决于算子参数。
Abstract We study a non-commutative version of the Kadomtsev-Petviashvili equations and construct a family of solutions generalizing naturally the soliton to the non-commutative setting. From this we derive explicit solution formulas as well for the scalar as for the matrix-Kadomtsev-Petviashvili equation which still depend on operator parameters.