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  • 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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  •   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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Exact solution of perturbed Kdv equation with variable dissipation coefficient

Date

2017

Author

Demiray, Hilmi

Metadata

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Citation

Demiray, H. (2017). Exact solution of perturbed Kdv equation with variable dissipation coefficient. Applied and Computational Mathematics, 16(1), 12-16.

Abstract

In the present work we study the integrability condition for a variable coefficient Korteweg-deVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables in such a way that the variable coefficient KdV equation reduces to the perturbed KdV equation with variable dissipation coefficient. Then, we apply the homogeneous balance (HB) method to this perturbed KdV equation to examine the integrability condition for this equation. The analysis reveals that if the dissipation coefficient function has a special structure the variable coefficient KdV equation is integrable. The progressive wave solution of evolution equation shows that the solution is unbounded and the wave amplitude decreases with time, which is to be expected from physical considerations.

Source

Applied and Computational Mathematics

Volume

16

Issue

1

URI

https://hdl.handle.net/11729/1316

Collections

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



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