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  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
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  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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  •   DSpace@Işık
  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation

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Date

2010-09

Author

Demiray, Hilmi

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Citation

Demiray, H. (2010). Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg–de vries equation. Computers and Mathematics with Applications, 60(6), 1747-1755. doi:10.1016/j.camwa.2010.07.005

Abstract

In the present work, utilizing the two-dimensional equations of an incompressible inviscid fluid and the reductive perturbation method, we studied the propagation of weakly non-linear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as a variable-coefficient Korteweg-de Vries (KdV) equation. A progressive wave type of solution, which satisfies the evolution equation in the integral sense but not point by point, is presented. The resulting solution is numerically evaluated for two selected bottom profile functions, and it is observed that the wave amplitude increases but the band width of the solitary wave decreases with increasing undulation of the bottom profile.

Source

Computers and Mathematics with Applications

Volume

60

Issue

6

URI

https://hdl.handle.net/11729/361
http://dx.doi.org10.1016/j.camwa.2010.07.005

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]

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