Lax pair, solitons, breathers and modulation instability of a three-component coupled derivative nonlinear Schrodinger system for a plasma

Plasmas are of current interest, supporting some nonlinear phenomena. In this paper, we investigate a three-component coupled derivative nonlinear Schrodinger 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 planewave solutions via the linear stability analysis: If the imaginary part of Omega exists, the modulation instability appears, where Omega is the frequency of perturbation.

Automated summary

In this paper, a three-component coupled derivative nonlinear Schrodinger system is investigated for a certain plasma. Soliton and breather solutions are obtained and their interactions are studied. The modulation instability of plane wave solutions is also examined.