| 解KP方程的一种新的近似展开方法 |
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| 引用本文： | 阮航宇. 解KP方程的一种新的近似展开方法[J]. 宁波大学学报(理工版), 1999, 12(2): 42-47 |
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| 作者姓名： | 阮航宇 |
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| 作者单位： | 宁波大学现代物理研究所!浙江宁波，315211，浙江大学现代物理研究所，浙江杭州，310027 |
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| 摘 要： | 以KP方程为例，提出了用共形不变展开求解实际非线性物理问题的近似方法在求解方程中得到的诱导方程，在共形不变和Painleve可积意义下是可积的得到的KP方程的近似解在某些特殊条件下是原方程的精确解
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| 关 键 词： | 渐近展开 KP方程 高维 |
A NEW ASYMPTOTIC EXPANSIONAPPROACH TO SOLVE KP EQUATION |
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| RUAN Hang-yu. A NEW ASYMPTOTIC EXPANSIONAPPROACH TO SOLVE KP EQUATION[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 1999, 12(2): 42-47 |
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| Authors: | RUAN Hang-yu |
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| Abstract: | Taking (3 1) -dimensional KP equation as one simple example, aconformal invariant asymptotic expansion approach to solve real nonlinearphysical system is proposed. The resulting asymptotic equations are integrableunder the meanings that they are conformal invariant and possess the Paineveproperty. In some special cases, the approximate solutions become exact. |
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| Keywords: | asymtotic expansion KP equation high dimensionCLC number:##5 O415 |
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