N. M. Ivanova

activity

20032007

most citedNew results on group classification of nonlinear diffusion-convection equations

109 citations · 372 across the 12 of their papers we have counts for

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Showing 2003 · math-phShow all

3 papers · 2 filters

math-ph2003★ 32 cited

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 $i ψ_{t} + ψ_{xx} + ∣ ψ ∣^{γ} ψ + V (t, x) ψ = 0$ where $V$ is an arbitrary complex-valued pot…

math-ph2003★ 5 cited

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 $i ψ_{t} + ψ_{xx} + ψ^{2} ψ^{*} + V (t, x) ψ = 0$ where $V$ is an arbitrary complex-valued potenti…

math-ph2003★ 109 cited

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 $(1 + 1)$ -dimensional no…