Solitons, pseudopotentials, and certain Lie algebras
- 1 January 1977
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (1) , 163-164
- https://doi.org/10.1063/1.523150
Abstract
It is shown that there is a common algebraic structure in the pseudopotentials of equations solvable by the generalized Zakharov–Shabat eigenvalue problem. It follows that an arbitrarily large number of prolongation variables can be associated with these equations and that a recently developed geometric interpretation of solitons can be given for each of these equations.Keywords
This publication has 4 references indexed in Scilit:
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- Pseudopotentials of Estabrook and Wahlquist, the Geometry of Solitons, and the Theory of ConnectionsPhysical Review Letters, 1976
- Prolongation structures of nonlinear evolution equationsJournal of Mathematical Physics, 1975
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear ProblemsStudies in Applied Mathematics, 1974