Bhagavad-Gita: Chapter 1, Verse 14

Rudra Vaisnava Sampradaya:

Visnuswami

Sridhara Swami's Commentary

After the tumultuous sound coming from the Kaurava army had subsided, the Supreme Lord Krishna and Arjuna seated on a magnificent chariot intrepidly blew their conch shells powerfully igniting the Pandavas eagerness for battle as well.

Brahma Vaisnava Sampradaya:

Madhvacarya

Madhvacarya's Commentary

Madhvacarya has no commentary so we present Baladeva Vidyabhusana's.

Thereafter the Pandava army also sounded festively al the musical sounds for battle readiness and this is what is meant by the use of the word tatah. Although there were many chariots present on the battlefield the reason for mentioning the chariot of Lord Krishna and Arjuna was that this chariot by which the three worlds could be conquered was donated by Agni, the demigod of fire and was designed and built by Visvakarma the architect of the demigods and thus was especially powerful.

Sri Vaisnava Sampradaya:

Ramanuja
There is no commentary for this verse.

Kumara Vaisnava Sampradaya:

Nimbaditya

Kesava Kasmiri's Commentary

Now in order to ignite the exaltation of the Pandava army and in response to the Kaurava army the mighty blowing by the Supreme Lord Krishna and Arjuna on their divine conch shells confidently indicates that their victory is eminent.