Arduino Uno R3 board resets always when working with ESP 8266 WIFI Module

Using Arduino Networking, Protocols, and Devices
1

I'm trying to make a WIFI access point using Arduino Uno R3 and ESP 8266 WIFI Module. When I open the serial monitor after sending the AT command to the WIFI module, for few seconds(2 or 3) it looks like freeze. Then suddenly it shows me the response of the AT+RST command. This AT+RST response is printing infinite times in the serial monitor.(Recurring)

Below is the recurring output

ets Jan 8 2013,rst cause:4, boot mode:(3,6)
wdt reset
load 0x40100000, len 24444, room 16
tail 12
chksum 0xe0
ho 0 tail 12 room 4
load 0x3ffe8000, len 3168, room 12
tail 4
chksum 0x93
load 0x3ffe8c60, len 4956, room 4
tail 8
chksum 0xbd
csum 0xbd
ready

I did the same task using Arduino Mega board. It works fine. Is there any limitation with the Uno R3 board when using it with ESP 8266 WIFI Module or is there a problem with my UNO Board.Help me ASAP.

Thank You