Integrable boundary-value problems and nonlinear Fourier harmonics
Journal Article
·
· Journal of Mathematical Sciences
For the nonlinear Schrodinger 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 semi-axis is constructed by means of reduction to the Cauchy problem on the whole axis.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 191991
- Journal Information:
- Journal of Mathematical Sciences, Vol. 77, Issue 2; Other Information: PBD: 10 Nov 1995; TN: Translated from Zapiski Nauchnykh Seminarov POMI; 199, 43-50(1992)
- Country of Publication:
- United States
- Language:
- English
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