A Supplement to the London Gazette of yesterday is published this evening, containing official accounts of the war proceedings in India, previously announced in the daily papers. There are details of the attack and defeat of Dost Mahomed and the Walee of Khooloom, at Bameean, on the 18t1s September ; but these despatches give no account of the subsequent battle of the 2d November ; two days after which, Dost Mahomed surrendered himself. The particulars of the surrender are thus described in a despatch from Sir William Macnaghten to the Secretary to the Government of India, dated November 4th; an extract of which only is given in the Supplement to the Gazette. "I have the honour to acquaint you, for the information of the Right Honourable the Governor-General of India, in Council, that Dost Mahomed Khan, the Ex-Chief of Cabool, surrendered himself to me yesterday evening. I was returning from my evening ride, and within a few yards of my own residewe in the citadel, when a single horseman galloped up to me, and having satisfied himself that I was the Envoy and Minister, told me that Dost Mahomed Khan was arrived, and sought my protection. Dost Mahomed Khan rode up to me, and alighted from his horse : after the usual salutations, I begged him to mount again ; and we proceeded together to my residence in the Compound, in which I have pitched a tent for the Ex-Chief, and have provided him with every thing necessary for his comfort. Be assured me he had not Min off his horse for twenty-four hours ; yet he showed but little symptoms of fatigue, and his self-possession was very remarkable. He put his sword into my hand, as a token of submission; but I at once returned it to him, and he seemed grateful for this mark of confidence. lie asked about his family; and at his own suggestion, and in my presence, he wrote letters to his son Mahomed Afzul Khan and to his two sons whose escape from Ghuznee WM recently reported, desiring them to come in immediately, as he himself hal confided in my protection and been honourably received. Having thus briefly described the circumstances attending the surrender of Dost Mahomed Khan, I trust it may he permitted me to congratulate your Lordship in Council on the happy event which affords the best security for the future peace of this distracted country.
" On'the day before yesterday, the detachment under the command of Major- General Sir Robert Sale, K.C.B., fell in with Dost Mahomed Khan's army at Purwur, and dispersed it ; the particulars of which occurrence will he reported to his Lordship in Council, by Major-General Sir \V. Cotton, G.C.B. and K.C.H.
"Dost Mahomed Khan must have come into Cabool direct from the field of battle, without the knowledge of any of his adherents. Immediately before my meeting with the Ex-Chief, I had received a letter from Sir A. Burnes, report- ing that it was unknown in what direction Dost Mahomed had proceeded, an- nouncing the intention of himself and Sir Robert Sale to return to Cabool im- mediately."