The 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation is decompo
sed into systems of integrable ordinary differential equations resorting to
the nonlinearization of Lax pairs. The Abel-Jacobi coordinates are introdu
ced to straighten the flows, from which quasi-periodic solutions of the 2 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation are obtained in t
erms of Riemann theta functions. (C) 1999 Published by Elsevier Science B.V
. All rights reserved.