Bikbaev, R. F. Integrable boundary-value problems and nonlinear Fourier harmonics. (English. Russian original) Zbl 0931.35160 J. Math. Sci., New York 77, No. 2, 3046-3050 (1995); translation from Zap. Nauchn. Semin. POMI 199, 43-50 (1992). Summary: For the nonlinear Schrödinger equation, the integrable boundary-value problem on a segment is considered. The concept of nonlinear \(\theta\)-harmonics similar to the ordinary Fourier harmonics in the linear case is suggested. A solution of the initial boundary-value problem on the semiaxis is constructed by means of reduction to the Cauchy problem on the whole axis. Cited in 1 Document MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions Keywords:nonlinear \(\theta\)-harmonics; nonlinear Schrödinger equation PDF BibTeX XML Cite \textit{R. F. Bikbaev}, J. Math. Sci., New York 77, No. 2, 1 (1992; Zbl 0931.35160); translation from Zap. Nauchn. Semin. POMI 199, 43--50 (1992)