Numerical behaviour and solution of travelling wave and superposition of two solitary waves of the nonlinear KdV-Kawahara equation
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present manuscript, the fifth-order nonlinear Korteweg-de Vries-Kawahara (KdV-Kawahara) equation including two dispersion terms is going to be handled. For the solution process, both finite difference and quadrature differential methods are used. The newly obtained results are important due to two aspects. First, they are better than those of most available ones. The second and most important, the results are found at the low cost of computational efforts. These important aspects ensure that they can also be applied to a wide range of problems encountered in various fields of applied sciences. Moreover, the computed results get closer to the exact ones when the step sizes refine. Travelling single solitary wave and the superposition of two solitary waves solutions are obtained numerically. A comparison of the numerical results shows that present algorithm by contribution of the two numerical methods obtained higher accurate solutions successfully.
Açıklama
Anahtar Kelimeler
Finite difference method, Differential quadrature method, KdV-Kawahara equation, Convergence
Kaynak
Results in Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
81
Sayı
1
