As everyone else said, do whatever you can to sleep on the plane. Once you land, power through until a reasonable bedtime (I aim for at 9pm at the earliest, 10 would be great).
Sleep general eludes me on planes no matter what I do - drugs, business class lie flat beds - nothing works. What I do is put on a sleep mask and put something on my earphones - spa-like music, a sleep meditation, something to block out other noise and help me zone out, nothing that requires attention (like a podcast). Getting comfy is key so sit somewhere that you won't be bumped or interrupted (like a window seat), and I have used one of those blow up pillows that you essentially lean forward on, wrap your arms around them and your head rests on it.