The White Peacock was written by the author of -

David Herbert Lawrence's well known novels:
- Lady Chatterley's Lover,
- Sons and Loves,
- The White Peacock,
- The Rainbow,
- Women in Love,
- A Modern Lover.

So, The author of 'The White Peacock' and 'Lady Chatterley's Lover' is same (David Herbert Lawrence).

Source: Britannica.