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| 一类无散射偏微分方程组的变换和精确解 | |
| 引用本文： | 叶彩儿. 一类无散射偏微分方程组的变换和精确解[J]. 浙江林学院学报, 2003, 20(1): 95-97 |
| 作者姓名： | 叶彩儿 |
| 作者单位： | 浙江林学院基础部,浙江临安311300 |
| 摘 要： | 将3个非线性物理方程组通过近似约化，转化为一类无散射的偏微分方程组，然后通过变换，化为一阶拟线性双曲型方程。利用拟线性双曲型方程的解，得到无散射偏微分方程组的精确解。参6 |
| 关 键 词： | 非线性偏微分方程 变换 无散射偏微分方程组 拟线性双曲型方程 特征线解法 精确解 |
| 文章编号： | 1000-5692(2003)01-0095-03 |
Transformations of dispersionless partial differential equations and exact solutions |
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| Abstract: | By approximate reduction,three nonlinear physical equations are changed into a kind of dispersionless partial differential equations which are converted into the first order quasilinear hyperbolic equation via transformations.The exact solutions of dispersionless partial differential equations can be obtained by using the solutions of quasilinear hyperbolic equation. |
| Keywords: | non linear partial differential eguations transformation dispersionless partial differential equations quasilinear hyperbolic equation solution of characteristic line exact solutions |
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