| Abstract: | The initial-boundary-value problem for the Kadomtsev-Petviashvili equation in infinite space is considered. When formulated as an evolution equation, found that a symmetric integral is the appropriate choice in the nonlocal term; namely,  . If one simply chooses  , then an infinite number of constraints on the initial data in physical space are required, the first being  . The conserved quantities are calculated, and it is shown that they must be suitably regularized from those that have been used when the constraints are imposed. |
