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