Submitted:
21 August 2018
Posted:
21 August 2018
Read the latest preprint version here
Abstract
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov equation for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations by results of various steps which on solving the so obtained equation systems yields the analytical solution. By this way various exact including complex solutions are found and drawn their behaviour in complex plane by Maple to compare the uniqueness of various solutions.
Keywords:
Kuramoto–Sivashinsky equation
; modified Kudrayshov method
; exact solutions
; Maple graphs
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