Grivishkis, Saulyus; Ivanauskas, Feliksas The method of straight lines for the solution of a nonlinear system of equations of Schrödinger type. (Russian. English summary) Zbl 0596.65093 Differ. Uravn. Primen. 37, 27-35 (1985). Summary: A system of three nonlinear differential equations of Schrödinger type is solved by means of the method of lines. The stability and convergence of the method are investigated. Estimations of the solution are received. The convergence of the iterative method for the solution of the differential equations is investigated. MSC: 65Z05 Applications to the sciences 65N40 Method of lines for boundary value problems involving PDEs 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 35Q99 Partial differential equations of mathematical physics and other areas of application 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 65H10 Numerical computation of solutions to systems of equations Keywords:nonlinear differential equations of Schrödinger type; stability; convergence; iterative method PDFBibTeX XMLCite \textit{S. Grivishkis} and \textit{F. Ivanauskas}, Differ. Uravn. Primen. 37, 27--35 (1985; Zbl 0596.65093)