Wilhelm Fushchych, Zoya Symenoh, Ivan Tsyfra
Published 1998-01-01Version 1
We study symmetry properties of the Schr\"odinger equation with the potential as a new dependent variable, i.e., the transformations which do not change the form of the class of equations. We also consider systems of the Schr\"odinger equations with certain conditions on the potential. In addition we investigate symmetry properties of the equation with convection term. The contact transformations of the Schr\"odinger equation with potential are obtained.
Journal: J. Nonlinear Math. Phys. 5 (1998), no. 1, 13-22
On the complex solution of the Schrödinger equation with exponential potentials
Multichannel scattering for the Schrödinger equation on a line with different thresholds at both infinities
Time evolution of superoscillations for the Schrödinger equation in $\mathbb{R}\setminus\{0\}$
