On the asymptotic properties of solutions of the Korteweg-de Vries equation
- 11 September 1984
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (13) , 2729-2731
- https://doi.org/10.1088/0305-4470/17/13/023
Abstract
An error is pointed out in a theorem due to Tanaka (1975) on the asymptotic behaviour of solutions of the Korteweg-de Vries equation. The appropriate modification leads to a rigorous derivation of the results of Ablowitz and Kodama (1982). A convenient expression for the phase shifts of solitons is given which exhibits the decoupling of the effects due to the presence of both solitons and a dispersive wavetrain.Keywords
This publication has 3 references indexed in Scilit:
- Asymptotic behaviour of solutions of the Korteweg-de Vries equationPhysics Letters A, 1983
- Note on Asymptotic Solutions of the Korteweg‐de Vries Equation with SolitonsStudies in Applied Mathematics, 1982
- Korteweg-de Vries Equation; Asymptotic Behavior of SolutionsPublications of the Research Institute for Mathematical Sciences, 1974