1
Department of Mathematics, Faculty of sciences, Gonbad Kavous University, Gonbad, Iran
2
Faculty of Physics, Semnan University, Semnan, Iran
Abstract
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.
Neirameh, A., & Memarian, N. (2017). New analytical soliton type solutions for double layers structure model of extended KdV equation. Computational Methods for Differential Equations, 5(4), 256-270.
MLA
Ahmad Neirameh; Nafiseh Memarian. "New analytical soliton type solutions for double layers structure model of extended KdV equation". Computational Methods for Differential Equations, 5, 4, 2017, 256-270.
HARVARD
Neirameh, A., Memarian, N. (2017). 'New analytical soliton type solutions for double layers structure model of extended KdV equation', Computational Methods for Differential Equations, 5(4), pp. 256-270.
VANCOUVER
Neirameh, A., Memarian, N. New analytical soliton type solutions for double layers structure model of extended KdV equation. Computational Methods for Differential Equations, 2017; 5(4): 256-270.
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