Equivalence groupoid for (1+2)-dimensional linear Schrodinger equations with complex potentials

被引：2

作者：

Kurujyibwami, Celestin ^{[1
,2
]}

机构：

[1] Univ Rwanda, Coll Sci & Technol, Kigali, Rwanda

[2] Linkoping Univ, S-58183 Linkoping, Sweden

来源：

SEVENTH INTERNATIONAL WORKSHOP: GROUP ANALYSIS OF DIFFERENTIAL EQUATIONS AND INTEGRABLE SYSTEMS (GADEISVII) | 2015年 / 621卷

关键词：

REACTION-DIFFUSION EQUATIONS; SYMMETRY CLASSES; COEFFICIENT; TRANSFORMATIONS;

D O I：

10.1088/1742-6596/621/1/012008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe admissible point transformations in the class of (1+2)-dimensional linear Schrodinger equations with complex potentials. We prove that any point transformation connecting two equations from this class is the composition of a linear superposition transformation of the corresponding initial equation and an equivalence transformation of the class. This shows that the class under study is semi-normalized.

引用

页数：7

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