SOLUTIONS OF THE ABLOWITZ-KAUP-NEWELL-SEGUR HIERARCHY EQUATIONS OF THE ``ROGUE WAVE'' TYPE: A UNIFIED APPROACH
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | SOLUTIONS OF THE ABLOWITZ-KAUP-NEWELL-SEGUR HIERARCHY EQUATIONS OF THE ``ROGUE WAVE'' TYPE: A UNIFIED APPROACH |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Matveev V.B, Smirnov A.O |
| Journal | THEORETICAL AND MATHEMATICAL PHYSICS |
| Volume | 186 |
| Pagination | 156-182 |
| Date Published | FEB |
| Type of Article | Article |
| ISSN | 0040-5779 |
| Mots-clés | AKNS hierarchy, freak wave, Hirota equation, Nonlinear Schrodinger equation, rogue wave |
| Résumé | 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. |
| DOI | 10.1134/S0040577916020033 |