| Novel Wronskian Condition and New Exact Solutions to a （3＋1）-Dimensional Generalized KP Equation |
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| 引用本文： | 吴建平,耿献国.Novel Wronskian Condition and New Exact Solutions to a （3＋1）-Dimensional Generalized KP Equation[J].理论物理通讯,2013(11):556-560. |
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| 作者姓名： | 吴建平 耿献国 |
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| 作者单位： | School of Mathematics and Statistics, Zhengzhou University, 100 Kexue Road, Zhengzhou 450001, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 11171312 |
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| 摘 要： | Utilizing the Wronskian technique, a combined Wronskian condition is established for a （3＋1）-dimensional generalized KP equation. The generating functions for matrix entries satisfy a linear system of new partial differential equations. Moreover, as applications, examples of Wronskian determinant solutions, including N-soliton solutions, periodic solutions and rational solutions, are computed.
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| 关 键 词： | KP方程 广义 精确解 小说 朗斯基行列式 偏微分方程 N-孤子解 线性系统 |
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