The second wave is interpreted as the Iranian wave.
The first Iranians to reach the Black Sea may have been the Cimmerians in the 8th century BC, although their linguistic affiliation is uncertain. They were followed by the Scythians, who are considered a western branch of the Central Asian Sakas. Sarmatian tribes, of whom the best known are the Roxolani (Rhoxolani), Iazyges (Jazyges) and the Alani (Alans), followed the Scythians westwards into Europe in the late centuries BC and the 1st and 2nd centuries AD (The Age of Migrations). The populous Sarmatian tribe of the Massagetae, dwelling near the Caspian Sea, were known to the early rulers of Persia in the Achaemenid Period. At their greatest reported extent, around 1st century AD, the Sarmatian tribes ranged from the Vistula River to the mouth of the Danube and eastward to the Volga, bordering the shores of the Black and Caspian seas as well as the Caucasus to the south. In the east, the Saka occupied several areas in Xinjiang, from Khotan to Tumshuq.

The Medians, Persians and Parthians begin to appear on the Iranian plateau from c. 800 BC, and the Achaemenids replaced Elamite rule from 559 BC. Around the first millennium AD, Iranian groups began to settle on the eastern edge of the Iranian plateau, on the mountainous frontier of northwestern and western Pakistan, displacing the earlier Indo-Aryans from the area.

In Eastern Europe, the Iranians were eventually decisively assimilated (e.g. Slavicisation) and absorbed by the Proto-Slavic population of the region, while in Central Asia, the Turkic languages marginalized the Iranian languages as a result of the Turkic expansion of the early centuries AD. Extant major Iranian languages are Persian, Pashto, Kurdish, and Balochi besides numerous smaller ones. Ossetian, primarily spoken in North Ossetia and South Ossetia, is a direct descendant of Alanic, and by that the only surviving Sarmatian language of the once wide-ranging East Iranian dialect continuum that stretched from Eastern Europe to the eastern parts of Central Asia.

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Development
Second wave – Iranians