Ignace Loris, Ralph Willox
Abstract
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We study the link between symmetry reductions and constraints of the Kadomtsev - Petviashvili equations in terms of the tau function. We propose a generalization - adapted to non-zero boundary conditions - of the standard constraints, and show a particular class of solutions (solitons).
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We study the link between symmetry reductions and constraints of the Kadomtsev - Petviashvili equations in terms of the tau function. We propose a generalization - adapted to non-zero boundary conditions - of the standard constraints, and show a particular class of solutions (solitons).
Key concepts: Generalization, Constraint (computer-aided design), Symmetry (geometry), Class (philosophy), Mathematics, Function (biology), Boundary (topology), Boundary value problem