Direct and inverse scattering problems of the nonlinear intermediate long wave equation
- 1 April 1982
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (4) , 564-576
- https://doi.org/10.1063/1.525393
Abstract
The inverse scattering transformation method associated with a nonlinear singular integrodifferential equation is discussed. The equation describes long internal gravity waves in a stratified fluid of finite depth, and reduces to the Korteweg–de Vries equation as shallow water limit and the Benjamin–Ono equation as deep water limit. Both limits of the method and novel aspects of the theory are also discussed.Keywords
This publication has 7 references indexed in Scilit:
- Nonlinear Intermediate Long-Wave Equation: Analysis and Method of SolutionPhysical Review Letters, 1981
- On an internal wave equation describing a stratified fluid with finite depthPhysics Letters A, 1979
- Internal-Wave Solitons of Fluids with Finite DepthPhysical Review Letters, 1979
- Weakly-Nonlinear, Long Internal Gravity Waves in Stratified Fluids of Finite DepthJournal of Hydronautics, 1978
- Multi-soliton solutions in a finite depth fluidJournal of Physics A: General Physics, 1978
- Internal wave solitonsPhysics of Fluids, 1978
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear ProblemsStudies in Applied Mathematics, 1974