Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations

SC y Cruz, R Razo, O Rosas-Ortiz, K Zelaya - Physica Scripta, 2020 - iopscience.iop.org
The Darboux method is commonly used in the coordinate variable to produce new exactly
solvable (stationary) potentials in quantum mechanics. In this work we follow a variation …

First-order Darboux transformations for Dirac equations with arbitrary diagonal potential matrix in two dimensions

A Schulze-Halberg - The European Physical Journal Plus, 2021 - Springer
We establish first-order Darboux transformations for the two-dimensional Dirac equation with
diagonal matrix potential. The potential is allowed to depend arbitrarily on both variables …

Darboux transformations for Dirac equations in polar coordinates with vector potential and position-dependent mass

A Schulze-Halberg - The European Physical Journal Plus, 2022 - Springer
We construct two Darboux transformations of arbitrary order for the Dirac equation in
cylindrical coordinates. The systems we consider include a vector potential and a position …

Darboux transformations and reality conditions for stationary Dirac and Klein—Gordon equations in one dimension

A Schulze-Halberg - International Journal of Modern Physics A, 2022 - World Scientific
We construct new Darboux transformations for one-dimensional stationary Dirac and Klein–
Gordon equations. The transformed solutions and potentials are expressed in closed form …

(2+ 1) 维Sawada-Kotera 方程的complexiton 解.

张永丽, 孙艳芳, 张辉群 - … of Henan University of Science & …, 2020 - search.ebscohost.com
(2+1)维Sawada-Kotera 方程的complexiton 解 Page 1 第41 卷第5 期 2020 年 10 月 河南科技
大学学报( 自然科学版) Journal of Henan University of Science and Technology(Natural …

Higher-order localized wave solutions to a coupled fourth-order nonlinear Schrödinger equation

N Song, HJ Shang, YF Zhang, WX Ma - Modern Physics Letters B, 2022 - World Scientific
In this paper, higher-order localized waves for a coupled fourth-order nonlinear Schrödinger
equation are investigated via a generalized Darboux transformation. The N th-order …