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.
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页数：7
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