Prolongation structure for a nonlinear equation with explicit space dependence
- 1 June 1980
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (6) , 1416-1417
- https://doi.org/10.1063/1.524566
Abstract
A nonlinear Schroedinger equation with a term depending explicitly on a space variable, e.g., iψt+ψxx+(−2αx+2‖E‖2) ψ=0 with ψ=Eeiφ has been treated in the language of differential forms and prolongation. The inverse scattering equations previously invented by Liu and Chen are obtained. A unique feature of the analysis is explicit space–time dependence of the pfaffian forms.Keywords
This publication has 2 references indexed in Scilit:
- Solitons in Nonuniform MediaPhysical Review Letters, 1976
- Prolongation structures of nonlinear evolution equations. IIJournal of Mathematical Physics, 1976