Bäcklund transformations for certain nonlinear evolution equations
- 1 December 1974
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (12) , 2157-2165
- https://doi.org/10.1063/1.1666595
Abstract
Bäcklund transformations associated with the Korteweg‐deVries (KdV), modified KdV, and nonlinear Schrödinger equations are derived by a method due to Clairin. Also, a Bäcklund transformation relating the KdV and modified KdV equations is obtained by the same technique.Keywords
This publication has 11 references indexed in Scilit:
- Bäcklund transformation in nonlinear pulse propagationPhysics Letters A, 1974
- Bäcklund Transformation for Solutions of the Korteweg-de Vries EquationPhysical Review Letters, 1973
- Nonlinear-Evolution Equations of Physical SignificancePhysical Review Letters, 1973
- Linearization of Cauchy's Problem for Quadratic Semilinear Partial Differential EquationsIBM Journal of Research and Development, 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
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear TransformationJournal of Mathematical Physics, 1968
- Solitons and Bound States of the Time-Independent Schrödinger EquationPhysical Review B, 1968
- Sur quelques équations aux dérivées partielles du second ordreAnnales de la faculté des sciences de Toulouse Mathématiques, 1903