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.
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页码：21 / 38
页数：18
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