非线性偏微分方程到线性偏微分方程通过容许守恒律的可逆映射
Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws
摘要：
利用守恒定律乘子给出了一种算法方法，该方法给出了求一个给定的非线性偏微分方程到某个线性偏微分方程的可逆映射的充要条件，并给出了当该映射存在时构造该映射的充要条件.以前的方法产生这样的条件，从承认点或接触对称的非线性偏微分方程。通过实例对这两种线性化方法进行了对比。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
