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New analytical soliton type solutions for double layers structure model of extended KdV equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 1، دوره 5، شماره 4، دی 2017، صفحه 256-270 اصل مقاله (475.52 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Ahmad Neirameh1؛ Nafiseh Memarian* 2 | ||
| 1Department of Mathematics, Faculty of sciences, Gonbad Kavous University, Gonbad, Iran | ||
| 2Faculty of Physics, Semnan University, Semnan, Iran | ||
| چکیده | ||
| In this present study the double layers structure model of extended Korteweg-de Vries(K-dV) equation will be obtained with the help of the reductive perturbation method, which admits a double layer structure in current plasma model. Then by using of new analytical method we obtain the new exact solitary wave solutions of this equation. Double layer is a structure in plasma and consists of two parallel layers with opposite electrical charge.The sheets of charge cause a strong electric field and a correspondingly sharp change in electrical potential across the double layer. As a result, they are expected to be an important process in many different types of space plasmas on Earth and on many astrophysical objects. These nonlinear structures can occur naturally in a variety of space plasmas environment. They are described by the Korteweg-de Vries(K-dV) equation with additional term of cubic nonlinearity in different homogeneous plasma systems. The performance of this method is reliable, simple and gives many new exact solutions. The (G'/G)-expansion method has more advantages: It is direct and concise. | ||
| کلیدواژهها | ||
| Double layers؛ Extended Korteweg-de Vries(KdV)؛ Analytical method | ||
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