Approximation of the Korteweg–de Vries Equation by the Nonlinear Schrödinger Equation
- 10 August 1998
- journal article
- Published by Elsevier in Journal of Differential Equations
- Vol. 147 (2) , 333-354
- https://doi.org/10.1006/jdeq.1998.3417
Abstract
No abstract availableThis publication has 14 references indexed in Scilit:
- Error estimates for the Ginzburg-Landau approximationZeitschrift für angewandte Mathematik und Physik, 1994
- Nonlinear modulation of gravity waves: a rigorous approachNonlinearity, 1992
- The validity of modulation equations for extended systems with cubic nonlinearitiesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1992
- The time dependent amplitude equation for the Swift-Hohenberg problemCommunications in Mathematical Physics, 1990
- Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systemsRussian Mathematical Surveys, 1989
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limitsCommunications in Partial Differential Equations, 1985
- Elements of Soliton Theory; Solitons: Mathematical Methods for Physicists; and Solitons and the Inverse Scattering TransformPhysics Today, 1982
- Nonlinear Modulation of Gravity WavesJournal of the Physics Society Japan, 1972
- Finite bandwidth, finite amplitude convectionJournal of Fluid Mechanics, 1969
- XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wavesJournal of Computers in Education, 1895