Nonlinear evolution equations and nonabelian prolongations
- 1 July 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (7) , 1720-1730
- https://doi.org/10.1063/1.525918
Abstract
A systematic analysis of the class of nonlinear evolution equations ut +uxxx +φ(u, ux)=0 is carried out within the Estabrook–Wahlquist prolongation scheme.Keywords
This publication has 9 references indexed in Scilit:
- Prolongation analysis of the cylindrical Korteweg-de Vries equationPhysical Review D, 1982
- Infinitely many lie-bäcklund symmetries for a quasi-linear evolution equationPhysics Letters A, 1982
- Non-Abelian prolongations and complete integrabilityPhysica D: Nonlinear Phenomena, 1981
- Reduction technique for matrix nonlinear evolution equations solvable by the spectral transformJournal of Mathematical Physics, 1981
- Cusp Soliton of a New Integrable Nonlinear Evolution EquationProgress of Theoretical Physics, 1980
- The KdV prolongation algebraJournal of Mathematical Physics, 1980
- New Integrable Nonlinear Evolution EquationsJournal of the Physics Society Japan, 1979
- Prolongation structures of nonlinear evolution equationsJournal of Mathematical Physics, 1975
- Bäcklund transformations for certain nonlinear evolution equationsJournal of Mathematical Physics, 1974