Dynamics of fundamental solitons and rogue waves on the mixed backgrounds
School of Mathematics and Physics, University of Science and Technology Beijing, 100083, Beijing, China
2 Beijing Computational Science Research Center, 100193, Beijing, China
3 Department of Mathematics and Physics, North China Electric Power University, 102206, Beijing, China
Accepted: 30 March 2021
Published online: 10 April 2021
On the mixed nonzero–zero backgrounds, the vector fundamental breathers, solitons and rogue waves of the coupled higher-order nonlinear Schrödinger system with sign-alternating nonlinearity are investigated. Using the Lax pair and Darboux transformation, we produce a family of vector solutions on the mixed backgrounds. Via the breather-to-soliton conversion, we show the vector solitons on the mixed backgrounds. We show the vector fundamental rogue waves of ultra-high peak amplitude on the mixed backgrounds.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021