Print Email Facebook Twitter Exact solution of the Zakharov–Shabat scattering problem for doubly-truncated multisoliton potentials Title Exact solution of the Zakharov–Shabat scattering problem for doubly-truncated multisoliton potentials Author Vaibhav, V.K. (TU Delft Team Raf Van de Plas) Date 2018 Abstract Recent studies have revealed that multisoliton solutions of the nonlinear Schrödinger equation, as carriers of information, offer a promising solution to the problem of nonlinear signal distortions in fiber optic channels. In any nonlinear Fourier transform based transmission methodology seeking to modulate the discrete spectrum of the multisolitons, choice of an appropriate windowing function is an important design issue on account of the unbounded support of such signals. Here, we consider the rectangle function as the windowing function for the multisolitonic signal and provide a recipe for computing the exact solution of the associated Zakharov–Shabat (ZS) scattering problem for the windowed/doubly-truncated multisoliton potential. The idea consists in expressing the Jost solution of the doubly-truncated multisoliton potential in terms of the Jost solution of the original potential. The proposed method allows us to avoid prohibitive numerical computations normally required in order to accurately quantify the effect of time-domain windowing on the nonlinear Fourier spectrum of the multisolitonic signals. Further, the method devised in this work also applies to general type of signals admissible as ZS scattering potential, and, may prove to be a useful tool in the theoretical analysis of such systems. Subject Direct scatteringMultisolitons To reference this document use: http://resolver.tudelft.nl/uuid:bc632e20-a233-4889-aa4b-67dc049acef0 DOI https://doi.org/10.1016/j.cnsns.2018.01.017 Embargo date 2020-02-03 ISSN 1007-5704 Source Communications in Nonlinear Science and Numerical Simulation, 61, 22-36 Bibliographical note Accepted Author Manuscript Part of collection Institutional Repository Document type journal article Rights © 2018 V.K. Vaibhav Files PDF CNSNS_script.pdf 397.69 KB Close viewer /islandora/object/uuid:bc632e20-a233-4889-aa4b-67dc049acef0/datastream/OBJ/view