| Grammian Solutions to a Non-Isospectral Kadomtsev-Petviashvili Equation |
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| 作者姓名： | 张大军 |
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| 作者单位： | Department of Mathematics, Shanghai University, Shanghai 200444 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No10371070, and the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers. |
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| 摘 要： |
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| 关 键 词： | Grammian解 非相同光谱Kadomtsev-Petviashvili方程 非统一媒介 奇点 |
| 收稿时间： | 2006-03-23 |
| 修稿时间： | 2006-03-23 |
Grammian Solutions to a Non-Isospectral Kadomtsev-Petviashvili Equation |
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| ZHANG Da-Jun.Grammian Solutions to a Non-Isospectral Kadomtsev-Petviashvili Equation[J].Chinese Physics Letters,2006,23(9):2349-2351. |
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| Authors: | ZHANG Da-Jun |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444 |
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| Abstract: | Solutions in the Crammian form for a non-isospectral Kadomtsev-Petviashvili equation are derived by means of Pfaffian derivative formulae. Explicit entries of the Crammian are given. Non-isospectral dynamics of the solutions generated from the Crammian are investigated in an analytic way. The solutions obtained can describe line solitons in non-uniform media travelling with time-dependent amplitude and time-dependent direction. In addition, some other solutions have singularities. |
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