softwareserial between arduino uno and esp8266
Make sure that:
- RX pin on the Arduino UNO is connected to the TX pin on the ESP8266.
- TX pin on the Arduino UNO is connected to the RX pin on the ESP8266.
- Baud rate should be set to the same value from both the Arduino and ESP8266.
I don't know about your arduino but looking at this schematic, your RX and TX should be swapped.
Adding to the above answer. UNO's TX is at 5V , while ESP8266 's RX is at 3.3V, as it is a 3.3V module. So its better to use a resistive divider to bring UNO' TX to 3.3V and then feed to ESP's RX, instead of directly connecting them eachother.