You can get name of months by select table ’T247’

DATA: it_month_name TYPE TABLE OF t247 WITH HEADER LINE.

SELECT * INTO TABLE it_month_name FROM T247
       WHERE spras = sy-langu.

or using function module ’MONTH_NAMES_GET’

DATA: it_month_name TYPE TABLE OF t247 WITH HEADER LINE.
CALL FUNCTION ’MONTH_NAMES_GET’      
  EXPORTING          
    LANGUAGE                         = SY-LANGU
*    IMPORTING
*        RETURN_CODE                 =      
  TABLES          
    MONTH_NAMES                      = it_month_name
  EXCEPTIONS          
    MONTH_NAMES_NOT_FOUND            = 1          
    OTHERS                           = 2         
  .  
IF SY-SUBRC <> 0.
* MESSAGE ID SY-MSGID TYPE SY-MSGTY NUMBER SY-MSGNO
*                WITH SY-MSGV1 SY-MSGV2 SY-MSGV3 SY-MSGV4.  
ENDIF.

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