General Derivation of Bäcklund Transformations from Inverse Scattering Problems
- 7 October 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 33 (15), 925-928
- https://doi.org/10.1103/physrevlett.33.925
Abstract
A general way is demonstrated to derive Bäcklund transformations for nonlinear partial differential equations that are solvable by the inverse scattering method in the scheme of Ablowitz, Kaup, Newell, and Segur.Keywords
This publication has 7 references indexed in Scilit:
- Bäcklund Transformation for Solutions of the Korteweg-de Vries EquationPhysical Review Letters, 1973
- Nonlinear-Evolution Equations of Physical SignificancePhysical Review Letters, 1973
- Exact envelope-soliton solutions of a nonlinear wave equationJournal of Mathematical Physics, 1973
- Method for Solving the Sine-Gordon EquationPhysical Review Letters, 1973
- The Modified Korteweg-de Vries EquationJournal of the Physics Society Japan, 1973
- Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant MediumReviews of Modern Physics, 1971
- Method for Solving the Korteweg-deVries EquationPhysical Review Letters, 1967