Classical symmetry analysis and exact solutions for generalized Korteweg-de Vries models with variable coefficients


Pinar Z., Ozis T.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.105, ss.99-104, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 105
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.ijnonlinmec.2018.06.009
  • Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Sayfa Sayıları: ss.99-104

Özet

In this paper, by using the classical symmetry analysis method symmetries for the generalized variable-coefficient Korteweg-de Vries model are obtained. Then, the reduced nonlinear ordinary differential equations with variable coefficients are solved by auxiliary equation method. Hermite differential equation is chosen as an auxiliary equation and some new exact solutions for the nonlinear partial differential equation in hand are obtained.