According to sources, here is the information of trains that will be extended from Jammu tawi and shri mata vaishno devi katra to budgam (kashmir) :
There are only 2 Daily trains and others are weekly
Daily trains are :
1~ 12425/26 Jammu rajdhani express (ext. from JAT)
2~...
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12445/46 uttar sampark kranti express (ext. from SVDK)
Weekly trains :
3~ 12471/72 swaraj express (ext. From SVDK)
4~ 12473/74 sarvodya SF express (ext. From SVDK)
5~ 12475/76 katra - hapa sf express (ext. from SVDK)
6~ 12477/78 jaamnagar SF express (ext. From SVDK)
7~16031/32 Andaman express (ext. From SVDK)
8~11449/50 jabalpur katra/katra jabalpur express (ext. From SVDK)
9~ 16787/88 tirunelveli katra /katra tirunelveli express (ext. From SVDK)
10~19803/04 kota katra / katra kota express (ext. From SVDK)
11~ 16317/18 himsagar express - kanyakumari katra/katra kanyakumari express (ext. From SVDK)
12~ 12469/70 kanpur Jammu tawi SF /Jammu tawi kanpur SF express (ext. From JAT)
13~ 12331/32 Himgiri expess Howrah Jammu tawi / Jammu tawi Howrah (ext. From JAT)
14~ 15651/52 lohit express guwahati Jammu tawi /Jammu tawi guwahati (ext. From JAT)
15~ 15653/54 Jammu tawi amarnaath express from guwahati / Jammu tawi guwahati (ext. From JAT)
16~ 12587/88 gorakhpur amarnaath express gorakhpur Jammu tawi/Jammu tawi gorakhpur (ext. From JAT)
17. 15097/98 bhagalpur amarnaath express bhagalpur Jammu tawi/Jammu tawi bhagalpur (ext. From JAT)

These trains will be extended to BUDGAM (kashmir) after completion of USBRL project (udhampur - srinagar - baramulla rail link)
The proposal for extension of these 32 trains from SVDK and JAT has been sended to northern railway ( firozpur division)