Integrable boundary-value problems and nonlinear Fourier harmonics
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For the nonlinear Schrödinger equation, the integrable boundary-value problem on a segment is considered. The concept of nonlinear ϕ-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. Bibliography: 11 titles.
KeywordsFourier Cauchy Problem Linear Case Fourier Harmonic
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