Modified Korteweg–de Vries solitary wave in a slowly varying medium
- 1 January 1980
- journal article
- research 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
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