Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. II (Q1812793)

[For part I see: ibid. 41, No. 10, 1349-1357 (1989; Zbl 0702.35232).] Part II is devoted mainly to constructing multiparameter families of exact solutions of the nonlinear equations \(i\psi_ t=k\Delta\psi+\lambda\psi |\psi|^{4/3}\) and \(i\psi_ t=k\Delta\psi+\lambda\psi(\text{grad}_ x |\psi|)^ 2|\psi|^{-2}\), where \(k\in\mathbb{R}\), \(\lambda\in\mathbb{C}\) and \(\psi(t,x_ 1,x_ 2,x_ 3)\) is an unknown complex-valued function. In addition, the authors give some results of the analysis of symmetries for some systems of equations with logarithmic nonlinearity.