1.What is SYSTEM_CORE_DUMPED (core dump) ?
Generally, SYSTEM_CORE_DUMPED is related to SAP system kernel. Most of them can be solved by updating the kernel patch to the latest patch level.
2.How should I do the analysis or which keyword should I use to search SAP notes?
See SAP KBA Note 2162346 - SYSTEM_CORE_DUMP : How to analyze it
3.What information should I provide to SAP Support if I couldn't find suitable notes?
-ST22 dump file (See SAP KBA Note 1896868 - How to save a short dump in text format )
-Workprocess trace of the dump: dev_w*.
-The steps to reproduce (In many cases it is unknown but if it is reproducible, it would be very helpful)