Kadomtsev-Petviashvili equation with explicitxandtdependence
- 1 March 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 31 (3) , 1952-1954
- https://doi.org/10.1103/physreva.31.1952
Abstract
With the help of a commutativity condition, we construct Kadomtsev-Petviashvili equations which depend explicitly on x and t.Keywords
This publication has 8 references indexed in Scilit:
- Painleve analysis for a time-dependent Kadomtsev-Petviashvili equationPhysics Letters A, 1984
- The Painleve property for the self-dual gauge-field equationsPhysics Letters A, 1984
- Some new integrable nonlinear evolution equations in 2 + 1 dimensionsPhysics Letters A, 1984
- The Painlevé property for partial differential equationsJournal of Mathematical Physics, 1983
- Lie-Backlund transformation, Painleve transcendent for a KdV equation with explicit x dependenceJournal of Physics A: General Physics, 1982
- Solitons and the Inverse Scattering TransformPublished by Society for Industrial & Applied Mathematics (SIAM) ,1981
- Water waves and Korteweg–de Vries equationsJournal of Fluid Mechanics, 1980
- N-Soliton Solution of the K-dV Equation with Loss and Nonuniformity TermsJournal of the Physics Society Japan, 1976