109 citations · 291 across the 9 of their papers we have counts for
4 papers · 2 filters
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 where is an arbitrary complex-valued pot…
Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential
Roman O. Popovych, Nataliya M. Ivanova, Homayoon Eshraghi
We perform the complete group classification in the class of cubic Schrödinger equations of the form where is an arbitrary complex-valued potenti…
New results on group classification of nonlinear diffusion-convection equations
Roman O. Popovych, Nataliya M. Ivanova
Using a new method and additional (conditional and partial) equivalence transformations, we performed group classification in a class of variable coefficient -dimensional no…
Group classification of nonlinear Schrödinger equations
Anatoly G. Nikitin, Roman O. Popovych
The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schrödin…