Conservation laws and solitons for a generalized inhomogeneous fifth-order nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system
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In this paper, we investigate a generalized inhomogeneous fifth-order nonlinear Schrödinger equation, generated by deforming the inhomogeneous Heisenberg ferromagnetic spin system through the space curve formalism. Based on the Ablowitz-Kaup-Newell-Segur system, infinitely many conservation laws will be obtained. Via the introduction of the auxiliary functions, bilinear form and N-soliton solutions have been derived with symbolic computation. Propagation and interaction of solitons have been studied through the analytical results. Effects of the inhomogeneous functions f = μ 1 x + ν 1 and h = μ 2 x + ν 2 on the soliton velocity and interactions have been discussed graphically and analytically.