https://doi.org/10.1140/epjp/s13360-021-02287-x
Regular Article
Lax pair, solitons, breathers and modulation instability of a three-component coupled derivative nonlinear Schrödinger system for a plasma
1
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
2
School of Information, University of International Business and Economics, 100029, Beijing, China
Received:
12
April
2021
Accepted:
13
December
2021
Published online:
1
February
2022
Plasmas are of current interest, supporting some nonlinear phenomena. In this paper, we investigate a three-component coupled derivative nonlinear Schrödinger system for a certain plasma. With respect to the complex envelopes of three fields in the plasma, we construct a Lax pair and obtain some soliton and breather solutions. Based on the soliton solutions, one bell-shaped soliton is presented. We present the interactions between/among the two/three bell-shaped solitons. Widths and velocities of the two solitons are unchanged after the interactions via the asymptotic analysis. When the two/three solitons have the same velocity, bound state of the two/three solitons is formed. Based on breather solutions, interaction between the Akhmediev breather (AB) and soliton, and interaction between the AB and breather-like soliton are shown. We present the interaction between the Kuznetsov–Ma breather and breather-like soliton. We investigate the modulation instability for the plane wave solutions via the linear stability analysis: If the imaginary part of 
exists, the modulation instability appears, where is the frequency of perturbation.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
