Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables

被引：2

作者：

Fritzsche, Bernd ^{[1
]}

Kirstein, Bernd ^{[1
]}

Roitberg, Inna Ya. ^{[1
]}

Sakhnovich, Alexander L. ^{[2
]}

机构：

[1] Univ Leipzig, Fak Math & Informat, D-04009 Leipzig, Germany

[2] Univ Vienna, Fak Math, A-1090 Vienna, Austria

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷

基金：

奥地利科学基金会;

关键词：

Backlund-Darboux transformation; matrix identity; S-node; S-multinode; explicit solution; non-stationary Dirac equation; non-stationary Schrodinger equation; Loewner system; pseudo-exponential-type potential; integrable nonlinear equations; BACKLUND-DARBOUX TRANSFORMATION; NONLINEAR EQUATIONS; NONSTATIONARY SCHRODINGER; SCATTERING PROBLEMS; CANONICAL SYSTEMS; EXPLICIT FORMULAS;

D O I：

10.3842/SIGMA.2015.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrodinger equations depending on two variables and of nonlinear wave equations depending on three variables.

引用

页数：13

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