Journal of Mathematical Sciences

, Volume 77, Issue 2, pp 3046–3050 | Cite as

Integrable boundary-value problems and nonlinear Fourier harmonics

  • R. F. Bikbaev
Article
  • 21 Downloads

Abstract

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.

Keywords

Fourier Cauchy Problem Linear Case Fourier Harmonic 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • R. F. Bikbaev

There are no affiliations available

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