There's no specific name for the northern lights caused by the solar wind, as it's simply the standard way the aurora is formed.
However, you can refer to the phenomenon as:
* Auroral display
* Aurora borealis (for the northern hemisphere)
* Aurora australis (for the southern hemisphere)
The solar wind itself is the continuous stream of charged particles ejected from the Sun's upper atmosphere, and it plays a crucial role in creating the beautiful light displays we see in the sky.