Moutard transforms for the conductivity equation

被引：2

作者：

Grinevich, P. G. ^{[1
,2
]}

Novikov, R. G. ^{[3
,4
]}

机构：

[1] LD Landau Inst Theoret Phys, Pr Akad Semenova 1a, Chernogolovka 142432, Russia

[2] Lomonosov Moscow State Univ, Fac Mech & Math, GSP-1,Leninskiye Gory 1,Main Bldg, Moscow 119991, Russia

[3] Ecole Polytech, Ctr Math Appl, CNRS, UMR 7641, F-91128 Palaiseau, France

[4] RAS, IEPT, Moscow 117997, Russia

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2019年 / 109卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Darboux-Moutard transforms; Conductivity equation; Integrability; Generalized analytic functions; GENERALIZED ANALYTIC-FUNCTIONS; 2-DIMENSIONAL DIRAC OPERATORS;

D O I：

10.1007/s11005-019-01183-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct Darboux-Moutard-type transforms for the two-dimensional conductivity equation. This result continues our recent studies of Darboux-Moutard-type transforms for generalized analytic functions. In addition, at least, some of the Darboux-Moutard-type transforms of the present work admit direct extension to the conductivity equation in multidimensions. Relations to the Schrodinger equation at zero energy are also shown.

引用

页码：2209 / 2222

页数：14

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