The generalized dressing method with applications to the integration of variable-coefficient Toda equations. (English) Zbl 1196.35181
A generalization of a the so called “dressing method” for solving differential equations of mathematical physics is offered. As an example the explicit solutions of variable-coefficient Toda equation is considered.
MSC:
| 37K60 | Lattice dynamics; integrable lattice equations |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 37K15 | Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems |
