| Abstract: | A study is made of the nonlinear Schrödinger equation and the modified Kortewegde Vries equation on the half-axis 0 x< . Classes of solutions are identified when there is sufficient initial data for unique solvability of a corresponding problem. The class of solutions investigated is characterized in terms of the Weyl-Titchmarsh function of an auxiliary linear problem. A solution is constructed in explicit form when the corresponding Weyl-Titchmarsh function v(t, z) is a rational function of z.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 11, pp. 1578–1584, November, 1991. |
