editor - vim - search current line equivalent to search current word -

is there equivalent search string in current line similar * or # search current word?

no, it's easy make it.

:nnoremap <silent> <leader>f :execute '/\v\^' . escape(getline('.'), '\\/') . '\$'<cr> 

this should give \f (or whatever remapped leader instead of backslash) should start search next instance of current line.