Group classification of (1+1)-Dimensional Schrödinger Equations with Potentials and Power Nonlinearities

Roman O. Popovych, Nataliya M. Ivanova, Homayoon Eshraghi

We perform the complete group classification in the class of nonlinear Schrödinger equations of the form $i{\psi }_t+{\psi }_{xx}+|\psi {|}^{\gamma }\psi +V(t,x)\psi =0$ where $V$ is an arbitrary complex-valued pot…