Nonlinear-Evolution Equations of Physical Significance
- 9 July 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 31 (2) , 125-127
- https://doi.org/10.1103/physrevlett.31.125
Abstract
We present the inverse scattering method which provides a means of solution of the initial-value problem for a broad class of nonlinear evolution equations. Special cases include the sine-Gordon equation, the sinh-Gordon equation, the Benney-Newell equation, the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, and generalizations.Keywords
This publication has 11 references indexed in Scilit:
- Method for Solving the Sine-Gordon EquationPhysical Review Letters, 1973
- The Exact Solution of the Modified Korteweg-de Vries EquationJournal of the Physics Society Japan, 1972
- Korteweg-de Vries equation: A completely integrable Hamiltonian systemFunctional Analysis and Its Applications, 1972
- Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant MediumReviews of Modern Physics, 1971
- Some Results on Coherent Radiative Phenomena withPulsesPhysical Review A, 1971
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear TransformationJournal of Mathematical Physics, 1968
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of MotionJournal of Mathematical Physics, 1968
- Method for Solving the Korteweg-deVries EquationPhysical Review Letters, 1967
- The disintegration of wave trains on deep water Part 1. TheoryJournal of Fluid Mechanics, 1967
- Theorie der Versetzungen in eindimensionalen AtomreihenThe European Physical Journal A, 1953