Aktosun, Tuncay; Busse, Theresa; Demontis, Francesco; van der Mee, Cornelis Symmetries for exact solutions to the nonlinear Schrödinger equation. (English) Zbl 1189.37074 J. Phys. A, Math. Theor. 43, No. 2, Article ID 025202, 14 p. (2010). For the focusing cubic Schrödinger equation \[ iu_t+u_{xx}+2|u|^2u=0, \] a symmetry is discussed in expressing exact solutions in terms of constant parameters. The results are generalized for the matrix case. Reviewer: Vjacheslav Yurko (Saratov) Cited in 6 Documents MSC: 37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems 35Q51 Soliton equations 35Q55 NLS equations (nonlinear Schrödinger equations) Keywords:nonlinear integrable equations; exact solutions; inverse scattering PDF BibTeX XML Cite \textit{T. Aktosun} et al., J. Phys. A, Math. Theor. 43, No. 2, Article ID 025202, 14 p. (2010; Zbl 1189.37074) Full Text: DOI arXiv OpenURL