If I try to set a date on an input field through the setDate method:

$("input[name=input1]").datepicker("setDate",date);

It shows a datepicker (I think this is because it gets the focus) that is not closeable either by calling:

$("input[name=input1]").datepicker("setDate",date).datepicker("hide");

or

$("input[name=input1]").datepicker("hide");

or even clicking in the close button on the datepicker itself. The only way to hide the datepicker is to open another one.

It does not happen setting the showOn to 'button' so I think is related to the input getting the focus.