Alfvén solitons in the coupled derivative nonlinear Schrödinger system with symbolic computation

The propagation of nonlinear Alfvén waves in magnetized plasmas with right and left circular polarizations is governed by the coupled derivative nonlinear Schrödinger (CDNLS) system. The integrability of this system is indicated by the existence of two gauge-equivalent Lax pairs and infinitely many independent conservation laws. With symbolic computation, the analytic one- and two-soliton solutions are obtained via the Hirota bilinear method. …