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Abstract.
We consider direct and inverse scattering problems for a general nonlinear Schrödinger equation. The direct problem is solved by the method of integral equations. The inverse problem is solved by the method of Born approximation. The computation of the Born approximation is carried out using regularization methods. Numerical examples are given to illustrate the effectiveness of these methods.
Funding source: Finnish Programme for Centres of Excellence in Research 2012–2017
Award Identifier / Grant number: application number 250215
The authors are grateful to Prof. Valery Serov for fruitful discussions and to the anonymous referees for their careful reading of the manuscript.
Received: 2013-12-20
Revised: 2014-2-26
Accepted: 2014-3-3
Published Online: 2014-3-14
Published in Print: 2014-7-1
© 2014 by Walter de Gruyter Berlin/Boston
