what are the differences between...
to wake and to awaken?
AND
to rouse and to arouse?
Here are two discussions of the usage of these words.
awake, awaken, wake (up): awake is usually an adjective: "I am awake." Awaken is always a verb, either transitive ("A noise awakened me") or intransitive ("At dawn I awakened"). Awaken is more formal than wake up. The word up is often unnecessary: "I woke at dawn."
They have different meanings. Arise is to become, arouse is to stimulate. I find that the American Heritage dictionary and the Cambridge Dictionaries are good sources for sample sentences.
http://www.bartleby.com/61/25/A0422500.html
http://dictionary.cambridge.org/define.asp?key=arise*1+0&dict=A
http://www.bartleby.com/61/45/A0434500.html
http://dictionary.cambridge.org/define.asp?key=arouse*1+0&dict=A
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thank-you