Since the PSP version was a Japan-exclusive digital release, playing it officially on original hardware is difficult. However, a spiritual successor of sorts is available in the West:
While it is a common point of confusion among fans, there was never an official Senran Kagura senran kagura psp iso exclusive
A fan project attempting to port the 3DS or Vita gameplay to the older PSP hardware. Mislabeled File: An ISO of a similar "busty brawler" game (e.g., Ikki Tousen Queen’s Blade ) renamed to capitalize on the Senran Kagura Where to Play Officially If you are looking for handheld Senran Kagura experiences, you can find them on these platforms: Since the PSP version was a Japan-exclusive digital
PPSSPP is the gold standard for PSP emulation. It is available on PC, Android, and iOS. senran kagura psp iso exclusive