Singular 1-soliton solution of the nonlinear variable-coefficient diffusion reaction and mKdV equations
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), La Rochelle, Fransa, 4 - 08 Temmuz 2016, cilt.1798, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1798
- Doi Numarası: 10.1063/1.4972760
- Basıldığı Şehir: La Rochelle
- Basıldığı Ülke: Fransa
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this paper, we pay attention to the analytical method named, ansatz method for finding the exact solutions of the variable-coefficient modified KdV equation and variable coefficient diffusion-reaction equation. As a result the singular 1-soliton solution is obtained. These solutions are important for the explanation of some practical physical problems. The obtained results show that these methods provides a powerful mathematical tool for solving nonlinear equations with variable coefficients. This method can be extended to solve other variable coefficient nonlinear partial differential equations.