Reduction of KdV and Cylindrical KdV Equations to Painlevé Equation
- 1 May 1982
- journal article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 51 (5) , 1678-1681
- https://doi.org/10.1143/jpsj.51.1678
Abstract
No abstract availableKeywords
This publication has 12 references indexed in Scilit:
- Bäcklund Transformation of the Cylindrical KdV EquationJournal of the Physics Society Japan, 1980
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. IIJournal of Mathematical Physics, 1980
- Exact solutions to the equation describing “cylindrical solitons”Physics Letters A, 1979
- Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equationLettere al Nuovo Cimento (1971-1985), 1978
- Exact Linearization of a Painlevé TranscendentPhysical Review Letters, 1977
- Continuous Transformations and Differential EquationsIMA Journal of Applied Mathematics, 1977
- The Korteweg–deVries Equation: A Survey of ResultsSIAM Review, 1976
- On invariant solutions of the Korteweg-deVries equationPhysics Letters A, 1974
- Cylindrical solitonsPhysics of Fluids, 1974
- Method for Solving the Korteweg-deVries EquationPhysical Review Letters, 1967