Exact solution of perturbed Kdv equation with variable dissipation coefficient
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ministry Communicatios & High Technologies Republic Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Variable coefficient korteweg-devries equation, Progressive waves, De-vries equation, Auto-backlund transformation, Power-law nonlinearity, Conservation-laws, Rlw equation, Waves, Solitons
Kaynak
Applied and Computational Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
16
Sayı
1
Künye
Demiray, H. (2017). Exact solution of perturbed Kdv equation with variable dissipation coefficient. Applied and Computational Mathematics, 16(1), 12-16.
