Dexter Dennis added 20 points and 13 rebounds for the Shockers (14-4, 10-2 American Athletic Conference), who earned their sixth straight win.
Morris Udeze had 12 points and 10 rebounds for Wichita State and Tyson Etienne added 12 points and six assists.
Wichita State posted a season-high 22 assists, a career-high 12 from Alterique Gilbert, which gave him 301 for his career.
Jordan Walker had 17 points for the Green Wave (9-12, 4-12), whose losing streak reached four games. Gabe Watson added 14 points. Kevin Cross had 13 points.
The Shockers improve to 2-0 against the Green Wave this season. Wichita State defeated Tulane 75-67 on Feb. 3.
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