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Three‐Phase Solutions of the Kadomtsev–Petviashvili Equation

Three‐Phase Solutions of the Kadomtsev–Petviashvili Equation

The Kadomtsev–Petviashvili (KP) equation is known to admit explicit periodic and quasiperiodic solutions with N independent phases, for any integer N , based on a Riemann theta‐function of N variables. For N =1 and 2, these solutions have been used successfully in physical applications. This article addresses mathematical problems that …