On the Kadomtsev‐Petviashvili Equation and Associated Constraints
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.
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Document Type: Research Article
Affiliations: University of Colorado at Boulder
Publication date: October 1, 1991