How to save black's position in this Game?

Question

In this game black made some mistakes which leads to the final position.
While analyzing this game the engine is not willing to capture the bishop.

[Event ""]
[Site ""]
[Date "2014.07.05"]
[Round "-"]
[White "ahesham"]
[Black "myking64"]
[Result ""]
[WhiteElo "1455"]
[BlackElo "1398"]
[Time "23:33:01"]
[TimeControl "900"]
[FEN "r1q2r2/1pp2pk1/p1n1bNp1/2b1P1Pp/4PQ1P/8/PPP1BP2/2KR3R w KQkq - 0 1"]

1.Bxh5 gxh5 2.Nxh5+ Kg6 3.Ng3 Be7 4.h5+ Kg7 5.Nf5+ Bxf5 6.exf5     

Without capturing the bishop on the 1st move how can I proceed as black ?
What are possible plans for black after the 6th move to get an advantage?

Answer 1

What could be possible plans for black after 6th move to get advantage?

None. 1...gxh5 is a huge mistake, after which Black is definitely losing.

   [Date "2014.07.05"]
   [White "ahesham"]
   [Black "myking64"] 
   [WhiteElo "1455"]
   [BlackElo "1398"]
   [FEN "r1q2r2/1pp2pk1/p1n1bNp1/2b1P1Pp/4PQ1P/8/PPP1BP2/2KR3R w - - 0 1"]

   1. Bxh5 gxh5 2. Nxh5+ Kg6 3. Ng3 Be7 4. h5+ Kg7 5. Nf5+ Bxf5 6. exf5 Rd8 (6...
   Rg8 7. f6+ Kh8 8. fxe7 Qe6 9. g6 Rg7 10. Qf6 Qxe7 11. h6 Qxf6 12. hxg7+ Kxg7
   13. exf6+ Kxg6 14. Rh3) 7. f6+ Kg8 8. g6 Qe6 9. Qh6 Bxf6 10. exf6 Qxf6 11.
   Rxd8+ Rxd8 12. Rg1 Nd4 13. Qh7+ Kf8 14. g7+ Ke7 15. Qe4+ Ne6 16. Qb4+ Kd7 17.
   g8=Q Rxg8 18. Rxg8 Qxf2 19. Qd2+ Qxd2+ 20. Kxd2

Without capturing bishop at 1st move how can i proceed as black ?

1...Bd4 is an excellent move, immediately threatening the pawn on e5. The positions that arise after 1...Bd4 are extremely complex. I have attempted to analyze a few with the help of the Houdini 1.5 and Stockfish 4.2 engines. Black is able to hold the position after 1...Bd4 and make a draw.

 [Date "2014.07.05"]
 [White "ahesham"]
 [Black "myking64"]
 [WhiteElo "1455"]
 [BlackElo "1398"]
 [FEN "r1q2r2/1pp2pk1/p1n1bNp1/2b1P1Pp/4PQ1P/8/PPP1BP2/2KR3R w - - 0 1"]


 1. Bxh5 Bd4! 2. Be2 (2. Rxd4 Nxd4 3. Bd1 Rh8 4. c3 Nc6 5. h5 Qd8 6. h6+ Kf8 7.
 Bc2 Qe7 8. h7 Rd8 9. Qh4 Qc5 10. Qh6+ Ke7 11. Qg7 Qxe5 12. Ng8+ (12. Kb1 Rxh7
 13. Qxh7 Qxg5 14. Nd5+ Bxd5 15. exd5 Rxd5) 12... Ke8 13. Nf6+ Ke7 14. Ng8+ Ke8
 15. Nf6+ Ke7) 2... Bxe5 3. Qe3 Qb8!! 4. f4 Qa7 5. Qg3 Bd4 6. Kb1 Qb6 7. c3 Bf2 8.
 Qg2 Rfd8 9. h5 Qe3 10. Bf3 Ne7 11. hxg6 Nxg6 12. Rh7+ Kf8 13. f5 Rxd1+ 14. Bxd1
 Bc4 15. Qh1 Rd8 16. fxg6 Bg1 17. g7+ Ke7 18. g8=N+ Kd6 19. b4 Bd3+ 20. Bc2
 Bxc2+ 21. Kxc2 Qe2+ 22. Kb3 Qd1+ 23. Kb2 Qd2+ 24. Kb1 Qd1+ 25. Kb2 Qd2+

Answer 2

Maybe trying to break the pawn structure with something like:

[White "ahesham"]
[Black "myking64"]
[FEN "r1q2r2/1pp2pk1/p1n1bNp1/2b1P1Pp/4PQ1P/8/PPP1BP2/2KR3R w KQkq - 0 1"]

1.Bxh5 Bxf2 2. Qxf2 Nxe5