A new multisoliton solution to the (2＋1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating ...A new multisoliton solution to the (2＋1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating directionx and exponentially decaying in y and thus it is called periodic solitons. A typical spatial structure of it is illustrated bythe figures.展开更多
文摘A new multisoliton solution to the (2＋1)-dimensional KdV equation is obtained by means of the truncated Painleve expansion method and a direct ansatz technique. This new exact solution is periodic in the propagating directionx and exponentially decaying in y and thus it is called periodic solitons. A typical spatial structure of it is illustrated bythe figures.
