https://doi.org/10.1140/epjp/s13360-021-02200-6
Regular Article
Infinitely many conservation laws and Darboux-dressing transformation for the three-coupled fourth-order nonlinear Schrödinger equations
1
School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, Jiangsu, People’s Republic of China
2
School of Mathematical Sciences, Jiangsu University, 212013, Zhenjiang, Jiangsu, People’s Republic of China
Received:
4
February
2021
Accepted:
21
November
2021
Published online:
24
January
2022
In this paper, we derive the infinitely many conservation laws through the Lax pair of the three-coupled fourth-order nonlinear Schrödinger equations and construct some semi-rational solutions by the Darboux-dressing transformation. These solutions contain breather waves, vector rogue waves, and the interaction between breather waves and vector rogue waves. Moreover, the dynamical behaviors of semi-rational solutions are discussed via some graphics
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
