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Legendre旋转变换及一类Monge-Ampere方程的参数解
LEGENDRE ROTATIVE TRANSFORMATION AND THE PARAMETRIC SOLUTION OF A CLASS OF MONGE-AMPERE EQUATION
【摘要】 本文是研究Monge-Ampere方程,这是一个具有Lax对的非线性偏微分方程。在文中,我们引进了Legendre旋转变换并通过某些变量代换得到了Monge-Ampere方程的参数解。
【Abstract】 In this paper, we study a Monge-Ampere equation, which is a nonlinear partial differential equation admitting Lax pair. Here we introduce the Legendre rotative transformation and obtain the parametric solution of the Monge-Amgere equation through some variable transformations.
【关键词】 Legendre旋转变换;
Monge-Ampere方程;
Lax对;
参数解;
【Key words】 Legendre rotative transformation; Monge-Ampere equation; Lax pair; parametric solution;
【Key words】 Legendre rotative transformation; Monge-Ampere equation; Lax pair; parametric solution;
- 【文献出处】 郑州大学学报(自然科学版) ,Journal of Zhengzhuou University(Natural Science Edition) , 编辑部邮箱 ,1993年04期
- 【分类号】O 175.29
- 【下载频次】33