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Darboux Transformations and Soliton-Like Solutions of a New System Associated with the Negative AKNS System
Author(s) -
Shilong Huang,
Hongmin Li
Publication year - 2022
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2022/3276320
Subject(s) - hierarchy , reciprocal , construct (python library) , soliton , component (thermodynamics) , mathematics , flow (mathematics) , relation (database) , pure mathematics , algebra over a field , mathematical physics , physics , computer science , nonlinear system , quantum mechanics , geometry , law , political science , philosophy , linguistics , database , programming language
In this letter, we consider a new two-component system. By its reciprocal relation with the first negative flow in the AKNS hierarchy, we construct three Darboux-Bäcklund transformations for the new system and obtain some soliton-like solutions.

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