|
Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 3, Pages 435–440
(Mi tmf1608)
|
|
|
|
This article is cited in 8 scientific papers (total in 8 papers)
Levi–Civita theory for irrotational water waves in a one dimensional channel and the complex Korteweg–de Vries equation
D. Levi INFN — National Institute of Nuclear Physics
Abstract:
We review Levi–Civita theory that reduces the study of the irrotational flow in a one dimensional channel or the solution of a non-linear differential-functional partial differential equation for the velocity potential. We show how, by considering small perturbations in a shallow water channel, we can reduce the non-linear differential-functional equation to a complex Korteweg–de Vries equation that, for almost horizontal flow and for initial conditions independent from the vertical variable, reduces to the usual one.
Citation:
D. Levi, “Levi–Civita theory for irrotational water waves in a one dimensional channel and the complex Korteweg–de Vries equation”, TMF, 99:3 (1994), 435–440; Theoret. and Math. Phys., 99:3 (1994), 705–709
Linking options:
https://www.mathnet.ru/eng/tmf1608 https://www.mathnet.ru/eng/tmf/v99/i3/p435
|
Statistics & downloads: |
Abstract page: | 249 | Full-text PDF : | 96 | References: | 29 | First page: | 1 |
|