"In this regard, we can assume that each pulse represents a phoneme or a word of the dolphin's spoken language. The analysis of numerous pulses registered in our experiments showed that the dolphins took turns in producing [sentences] and did not interrupt each other, which gives reason to believe that each dolphin listened to the other's pulses before producing its own.
"This language exhibits all the design features present in the human spoken language. This indicates a high level of intelligence and consciousness in dolphins, and their language can be ostensibly considered a highly developed spoken language, akin to the human language."
Dolphins have possessed brains that are larger and more complex than human brains for more than 25 million years. The researchers found that Yasha and Yana could create sentences of up to five "words", but the scientists do not understand the content.
Dr Ryabov said it was now beyond doubt that dolphins speak their own language and it is time to start studying how to communicate directly with them.
"Humans must take the first step to establish relationships with the first intelligent inhabitants of the planet Earth by creating devices capable of overcoming the barriers that stand in the way of using languages and in the way of communications between dolphins and people," he added.
Scientists already knew that dolphins use more than 1,000 different types of whistle depending on social context, but it was unclear whether they could communicate one-to-one.
The research was published in the journal Mathematics and Physics.