Factorization of operators.II
- 1 June 1981
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (6), 1170-1175
- https://doi.org/10.1063/1.525041
Abstract
We extend the methods of a previous paper [J. Math. Phys. 21, 2508 (1980)], factorizing the general, scalar, third-order differential operator, and obtain a Miura transformation for the Boussinesq equation. We give a general factorized eigenvalue problem. We also give a Hamiltonian structure associated with the factorized eigenvalue problem. We derive several isospectral flows, some of Klein–Gordon type.Keywords
This publication has 13 references indexed in Scilit:
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering MethodPhysica Scripta, 1979
- Integrable nonlinear equations and the Liouville theoremFunctional Analysis and Its Applications, 1979
- Solitons as particles, oscillators, and in slowly changing media: a singular perturbation theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Evolution equations possessing infinitely many symmetriesJournal of Mathematical Physics, 1977
- Polynomial conserved densities for the sine-Gordon equationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1977
- On perturbations of the periodic Toda latticeCommunications in Mathematical Physics, 1976
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch pointsCommunications on Pure and Applied Mathematics, 1976
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. IFunctional Analysis and Its Applications, 1975
- Korteweg‐devries equation and generalizations. VI. methods for exact solutionCommunications on Pure and Applied Mathematics, 1974
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear TransformationJournal of Mathematical Physics, 1968