Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws

被引：1
|
作者：
Stephen Anco
George Bluman
Thomas Wolf
机构：
[1] Brock University,Department of Mathematics
[2] University of British Columbia,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2008年 / 101卷
关键词：
Conservation laws; Linearization; Symmetries; 35A30; 58J70; 35L65; 35A34; 22E65; 70H33;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：21 / 38
页数：17
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