Lie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential

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dc.creatorPopovych, Roman O.
dc.creatorIvanova, Nataliya M.
dc.creatorEshraghi, Homayoon
dc.date2003-10-21
dc.date2004-04-08
dc.date.accessioned2026-07-07T04:30:39Z
dc.date.available2026-07-07T04:30:39Z
dc.descriptionWe perform the complete group classification in the class of cubic Schrödinger equations of the form $iψ_t+ψ_{xx}+ψ^2ψ^*+V(t,x)ψ=0$ where $V$ is an arbitrary complex-valued potential depending on $t$ and $x$. We construct all possible inequivalent potentials for which these equations have non-trivial Lie symmetries using algebraic and compatibility methods simultaneously. Our classification essentially amends earlier works on the subject.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0310039
dc.identifierhttp://arxiv.org/abs/math-ph/0310039
dc.identifierProceedings of Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv, Institute of Mathematics, 2004, Part 1, P. 219--224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57537
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject35A30; 35Q55; 58J70; 81R05
dc.titleLie Symmetries of (1+1)-Dimensional Cubic Schrödinger Equation with Potential
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