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KP差分-微分方程组及其精确解
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作者 章德海 《中国科学院研究生院学报》 CAS CSCD 2000年第2期28-33,共6页
通过定义平移算子和差分算子 ,并利用Lax配对的方法 ,找到了KP差分 -微分方程组的正确形式 .定义了差分指数函数 .借助穿衣算子法 ,得到了KP差分 -微分方程组的精确解析解 .还讨论了KP差分 -微分方程组及其解的展开形式 .
关键词 kp差分-微分方程 精确解析解 差分指数函数
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Generalized Wronskian Solutions to Differential-Difference KP Equation 被引量:2
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作者 JI Jie YAO Yu-Qin +1 位作者 LIU Yu-Qing CHEN Deng-Yuan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5期769-772,共4页
A new method for constructing the Wronskian entries is proposed and applied to the differential-difference Kadomtsev-Petviashvilli (DΔKP) equation. The generalized Wronskian solutions to it are obtained, including ... A new method for constructing the Wronskian entries is proposed and applied to the differential-difference Kadomtsev-Petviashvilli (DΔKP) equation. The generalized Wronskian solutions to it are obtained, including rational solutions and Matveev solutions. 展开更多
关键词 Wronskian technique kp equation rational solutions Matveev solutions
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Clarkson-Kruskal Direct Similarity Approach for Differential-Difference Equations 被引量:2
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作者 SHEN Shou-Feng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第6X期964-966,共3页
In this letter, the Clarkson-Kruskal direct method is extended to similarity reduce some differentialdifference equations. As examples, the differential-difference KZ equation and KP equation are considered.
关键词 differential-difference KZ equation differential-difference kp equation direct method similarity reduction
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