Abstract
We investigated the solitonsolution for sixth order inhomogeneous NLS equation with variable coefficients. This equation describes the attosecond pulse propagation in an inhomogeneous fiber. Lax pair of this system is obtained via the Ablowitz–Kaup–Newell–Segur (AKNS) scheme and the corresponding Darboux transformation is constructed to derive the soliton multi soliton solutions. Using two soliton solutions with variable coeffcients, two and four dromion structures has been obtained. Through proper choice of control parameters in variable coeffcients, dromions are controlled. Especially, two dromions evolved into four dromions has been observed for certain value of control parameter. The obtained results may have promising applications in the study of attosecond soliton propagation in fiber system and dromion structures in nonlinear systems.
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