Numerical realization of the inverse scattering method

DOI10.1007/BF01018024zbMath0723.65104OpenAlexW2076868228MaRDI QIDQ756982

Arkadi G. Shagalov, Ismagil T. Habibullin

Publication date: 1990

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01018024

zbMATH Keywords

inverse problemfinite difference methodCauchy problemnonlinear Schrödinger equationRiemann problemsingular solutionsnumerical resultinverse scattering problemdiscrete matrix scattering problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications to the sciences (65Z05)

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Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical
• Locating the zeros of an analytic function
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