Özet
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 action of equivalence transformations. It is shown that the symmetry group can be at most four-dimensional in the case of genuine cubic-quintic nonlinearity. It may be five-dimensional (isomorphic to the Galilei similitude algebra gs(1)) when the equation is of cubic type, and six-dimensional (isomorphic to the Schrödinger algebra sch(1)) when it is of quintic type.
Orijinal dil | İngilizce |
---|---|
Makale numarası | 023502 |
Dergi | Journal of Mathematical Physics |
Hacim | 54 |
Basın numarası | 2 |
DOI'lar | |
Yayın durumu | Yayınlandı - 5 Şub 2013 |