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nlin.SI2012★ 6 cited
Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations
C. Özemir, F. Güngör
A Lie-algebraic classification of the variable coefficient cubic-quintic nonlinear Schrödinger equations involving 5 arbitrary functions of space and time is performed under the ac…
nlin.SI2011★ 4 cited
Variable coefficient nonlinear Schrödinger equations with four-dimensional symmetry groups and analysis of their solutions
C. Özemir, F. Güngör
Analytical solutions of variable coefficient nonlinear Schrödinger equations having four-dimensional symmetry groups which are in fact the next closest to the integrable ones occur…
nlin.SI2010★ 7 cited
Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras
P. Basarab-Horwath, F. Güngör, V. Lahno
We give a complete point-symmetry classification of all third-order evolution equations of the form which admit semi-simple s…