Algebro-geometric solutions of (2 + 1)-dimensional coupled modified Kadomtsev-Petviashvili equations

New (2 + 1)-dimensional integrable coupled modified Kadomtsev-Petviashvili (mKP) equations are proposed with the help of known (1 + 1)-dimensional soliton equations. The (2 + 1)-dimensional coupled mKP equations are decomposed into systems of solvable ordinary differential equations. The Abel-Jacobi coordinates are introduced to straighten the flows, from which new algebro-geometric solutions of the (2 + 1)-dimensional mKP equation and algebro-geometric solutions of the (2 + 1)-dimensional coupled mKP equations are obtained in terms of the Riemann theta functions. © 2000 American Institute of Physics.