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After introducing one scalar-, two vector-, and two tensor potentials, we find that the Lie symmetries of the extended system include many arbitrary functions of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>z<\/mml:mi><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mo>{<\/mml:mo><mml:mrow><mml:mi>z<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>t<\/mml:mi><\/mml:mrow><mml:mo>}<\/mml:mo><\/mml:mrow><\/mml:math>. The obtained Lie symmetries are used to find some types of exact solutions. One of exact solutions can be used to qualitatively describe the three-dimensional structure of hurricanes.<\/jats:p>","DOI":"10.1155\/2012\/163689","type":"journal-article","created":{"date-parts":[[2012,3,6]],"date-time":"2012-03-06T16:01:30Z","timestamp":1331049690000},"page":"1-16","source":"Crossref","is-referenced-by-count":1,"title":["Potential Symmetry Studies on a Rotating Fluid System"],"prefix":"10.1155","volume":"2012","author":[{"given":"S. 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