Solutions of the Ablowitz-Kaup-Newell-Segur Hierarchy Equations of the "Rogue Wave" Type: A Unified Approach

Abstract : We describe a unified structure of solutions for all equations of the Ablowitz-Kaup-Newell-Segur hierarchy and their combinations. We give examples of solutions that satisfy different equations for different parameter values. In particular, we consider a rank-2 quasirational solution that can be used to investigate many integrable models in nonlinear optics. An advantage of our approach is the possibility to investigate changes in the behavior of a solution resulting from changing the model.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01407785
Contributeur : Imb - Université de Bourgogne <>
Soumis le : vendredi 2 décembre 2016 - 15:18:03
Dernière modification le : mardi 6 décembre 2016 - 16:47:13

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Vladimir Matveev, Aleksandr Smirnov. Solutions of the Ablowitz-Kaup-Newell-Segur Hierarchy Equations of the "Rogue Wave" Type: A Unified Approach. Theoretical and Mathematical Physics, 2016, 186 (2), pp. 156-182 〈https://apps.webofknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=2&SID=N1A6mYH2Vn44K4YUnYe&page=1&doc=1〉. 〈10.1134/S0040577916020033 〉. 〈hal-01407785〉

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