They have been identified as Havaldar Kamlesh Singh, 39, Naik Balveer, 33, and Sepoy Rajinder, 25.
The army on Monday said Pakistan had a "direct role" in the mutilation of a soldier's body along the Line of Control in Machhil sector of Kupwara district on November 22.
Troops noticed suspicious movement along the LoC and challenged the intruders, leading to a gunfight.
During the search, five weapons have been recovered.
This is the second such incident of mutilation of the body of an Indian soldier on the LoC since October 29.
Around 29 trains have been delayed by two to five hours due to foggy weather, a railway official said.
38 militants killed, 22 infiltration bids foiled along LoC in 2017, says Army.
2 other jawans were injured in Pakistani shelling in Naushera sector of Rajouri district.
Brigadier, Northern Command, S Gotra said the Indian Army launched a counter offensive along the LoC in retaliation to Tuesday's offensive in Machhil.
Braving inclement weather, Army aviation pilots on Monday airlifted the five injured soldiers from Macchil to Srinagar for specialised treatment. Unfortunately, all five brave hearts attained martyrdom, an army official said.
Army foiled second infiltration attempt along the LoC in Kashmir in three days, reports Mukhtar Ahmad from Srinagar
The army has been left to do justice to itself for crimes it is accused of committing against civilians. As a force inside the government, obviously it will want that there be no intrusion into what they do, points out Aakar Patel.
Five soldiers were trapped at an Army post after multiple avalanches hit Batalik sector in Ladakh region of Jammu and Kashmir today, an Army official said.
Inputs have been received by the security and spy agencies that terrorist groups have been asked to carry out an attack on forces.
Army troops guarding the border noticed a group of heavenly-armed terrorists trying to infiltrate into this side of the LoC in Machhil sector, 140 km from Srinagar. The gunfight broke out after the troopers challenged the infiltrators, the spokesman said.
"The seven terrorists were killed in fresh exchange of fire, which began in the wee hours of Saturday, taking the death toll of terrorists in the operation to 12," army sources said.
In the current year, army foiled 23 infiltration attempts killing 39 armed intruders along the LoC.
He said the army was retaliating strongly and effectively to the ceasefire violation.
The students were happy to reunite with their classmates after so long and wished that there are no further disruptions to their studies.
Army has foiled a major infiltration bid along the Line of Control in Keran sector of Kashmir and a group of 30 ultras is believed to be trapped in the security forces cordon in the area.
Lelhari was named as the new commander of Ghazwat-ul-Hind in June this year after Zakir Musa was gunned down by security forces.
This time army killed 1 terrorists along the Line of Control in Gurez sector.
'The BSF and other forces will undertake a counter-action at a suitable time'
The army closed the alleged Pathribal fake encounter case on Thursday saying that "the evidence recorded could not establish a prime facie case against any of the accused persons, but clearly established that it was a joint operation by the police and the army based on specific intelligence".
For a Valley on the boil, there is ample proof that New Delhi simply does not care.
'Worryingly, intelligence assessments indicate that growing disaffection amongst the youth is ceding ground to fundamentalist Islamist groups like Islamic State,' reports Ajai Shukla.
'By beheading an Indian soldier, the Pakistan army has demonstrated its proclivity for barbaric medievalism.' 'The strategies adopted and the punishment inflicted by India must be made progressively more stringent with every new act of terrorism till the cost becomes prohibitive for Pakistan,' says Brigadier Gurmeet Kanwal (retd).
Hard men with guns cannot manage the state forever.