6533b7ddfe1ef96bd1273c8d
RESEARCH PRODUCT
Rational solutions to the KPI equation from particular polynomials
Pierre Gaillardsubject
Computational MathematicsNonlinear Sciences::Exactly Solvable and Integrable SystemsLogarithmHierarchy (mathematics)Applied MathematicsModeling and SimulationGeneral Physics and AstronomyOrder (group theory)Applied mathematicsHigh Energy Physics::ExperimentDerivativeA determinantMathematicsdescription
Abstract We construct solutions to the Kadomtsev–Petviashvili equation (KPI) from particular polynomials. We obtain rational solutions written as a second spatial derivative of a logarithm of a determinant of order n . We obtain with this method an infinite hierarchy of rational solutions to the KPI equation. We give explicitly the expressions of these solutions for the first five orders.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 | Wave Motion |