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
Using the variable separation approach, many types of exact solutions of the generalized (2+1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study th...Using the variable separation approach, many types of exact solutions of the generalized (2+1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton.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.
基金Supported by the Natural Science Foundation of Inner Mongolia (2009 MS0108)the Natural Science Foundation(ZRYB08017)Initial Funding of Scientific Reserarch Project for Ph.D.of Inner Mongolia Normal University
文摘Using the variable separation approach, many types of exact solutions of the generalized (2+1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton.
