Multi-Type Solitons in Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

Recently, research of solitons in Bose-Einstein condensates has become a popular topic. Here, we mainly study exact analytical solutions of Gross-Pitaevskii equations describing spin-orbit coupled spin-1 Bose-Einstein condensates. To begin with, we show the analytical relation between different types of one-dimensional spin-orbit coupling and Zeeman effect. In addition, we find a transformation that can simplify the three-component Gross-Pitaevskii equations with spin-orbit coupling into the nonlinear Schrodinger equation. The abundant stripe phase and dynamic characteristics of the system are investigated.