Lax pairs galore
- 1 January 1991
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (1) , 72-74
- https://doi.org/10.1063/1.529096
Abstract
A formula that yields an (apparently—but only apparently—nontrivial) Lax pair for any nonlinear evolution PDE in 1+1 dimensions possessing a local conservation law is presented. Several examples are exhibited.Keywords
This publication has 3 references indexed in Scilit:
- Monodromy- and spectrum-preserving deformations ICommunications in Mathematical Physics, 1980
- Integrals of nonlinear equations of evolution and solitary wavesCommunications on Pure and Applied Mathematics, 1968
- Method for Solving the Korteweg-deVries EquationPhysical Review Letters, 1967