Invertible mappings of nonlinear PDEs to linear PDEs through admitted conservation laws

被引：28

作者：

Anco, Stephen

Bluman, George ^{[1
]}

Wolf, Thomas

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada

来源：

ACTA APPLICANDAE MATHEMATICAE | 2008年 / 101卷 / 1-3期

关键词：

conservation laws; linearization; symmetries;

D O I：

10.1007/s10440-008-9205-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An algorithmic method using conservation law multipliers is introduced that yields necessary and sufficient conditions to find invertible mappings of a given nonlinear PDE to some linear PDE and to construct such a mapping when it exists. Previous methods yielded such conditions from admitted point or contact symmetries of the nonlinear PDE. Through examples, these two linearization approaches are contrasted.

引用

页码：21 / 38

页数：18