Korteweg-de Vries soliton in a slowly varying medium
Journal Article
·
· Phys. Rev. Lett.; (United States)
We derive an approximate solution to the Korteweg-de Vries equation with slowly varying coefficients for a soliton initial condition. Expressions are given for the amplitude, position, and velocity, and it is shown that the soliton experiences an irreversible loss of energy whenever it travels in a slowly varying medium. These results are applied to an ion acoustic soliton in a nonuniform plasma and are confirmed by comparison with the results of numerical integration of the differential equation.
- Research Organization:
- University of Southern California, Los Angeles, California 90007
- OSTI ID:
- 5198644
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 40:4; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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