A Tree of Linearisable Second-Order Evolution Equations by Generalised Hodograph Transformations
A Tree of Linearisable Second-Order Evolution Equations by Generalised Hodograph Transformations
复制标题
DOI：
10.2991/jnmp.2001.8.3.3
复制
发表时间：
2001-01
影响因子：
0.7
通讯作者：
N. Euler;M. Euler
中科院分区：
文献类型：
--
作者：
N. Euler;M. Euler
摘要我们提出了一个（1+1）维二阶发展方程的列表，所有连接通过建议的广义速端图变换，导致在一棵树的方程可变换的线性二阶自治发展方程。该列表包括自治和非自治方程。为了纪念威廉·富希奇
Abstract We present a list of (1+1)-dimensional second-order evolution equations all connected via a proposed generalised hodograph transformation, resulting in a tree of equations transformable to the linear second-order autonomous evolution equation. The list includes autonomous and nonautonomous equations. To the memory of Wilhelm Fushchych