Modified Korteweg–de Vries solitary wave in a slowly varying medium
- 1 January 1980
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 23 (1) , 31-33
- https://doi.org/10.1063/1.862858
Abstract
A solitary wave solution of the modified Korteweg–de Vries equation with slowly varying coefficients is derived for a soliton initial condition. It is shown that a shelf is generated behind the main peak, and that an irreversible transfer of energy occurs from the main body of the solitary wave to the shelf.Keywords
This publication has 7 references indexed in Scilit:
- The Fission and Disintegration of Internal Solitary Waves Moving over Two-Dimensional TopographyJournal of Physical Oceanography, 1978
- Korteweg-de Vries Soliton in a Slowly Varying MediumPhysical Review Letters, 1978
- On the theory of solitary Rossby wavesJournal of Fluid Mechanics, 1977
- On the development of a solitary wave moving over an uneven bottomMathematical Proceedings of the Cambridge Philosophical Society, 1973
- Wave Propagation in an Inhomogeneous Anharmonic LatticeJournal of the Physics Society Japan, 1972
- The solitary wave in water of variable depthJournal of Fluid Mechanics, 1970
- Weak Non-Linear Hydromagnetic Waves in a Cold Collision-Free PlasmaJournal of the Physics Society Japan, 1969