On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation
首发时间:2009-01-09
Abstract:The Kadomtsev-Petviashvili (KP) equation describes such situations as the two-dimensional long water waves, surface waves and internal waves in straits or channels. The Darboux transformation (DT) of the KP equation is investigated in this paper. The previously-published four constrain conditions on the DT are hereby proved to be compatible and can be reduced to one. New representations of the solutions are presented, which are more concise than the existing ones.
keywords: N-fold Darboux transformation KP equation long water waves surface waves internal waves
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On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation
摘要:The Kadomtsev-Petviashvili (KP) equation describes such situations as the two-dimensional long water waves, surface waves and internal waves in straits or channels. The Darboux transformation (DT) of the KP equation is investigated in this paper. The previously-published four constrain conditions on the DT are hereby proved to be compatible and can be reduced to one. New representations of the solutions are presented, which are more concise than the existing ones.
关键词: N-fold Darboux transformation; KP equation; long water waves; surface waves; internal waves
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On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation
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