Simple derivation of Bäcklund transformation from Riccati form of inverse method. (English) Zbl 1079.35505
Summary: A simple method for deriving the Bäcklund transformation from the Riccati form of the inverse method is presented for the nonlinear evolution equations.
MSC:
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
| 35R30 | Inverse problems for PDEs |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 37K35 | Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems |
