Abstract

We present new investigations of the spatially localized excitations of soliton type in the framework of the nonlinear Schrodinger equation. It is shown that the fourth - order effects are crucial for the formation of solitary waves in the layered In₄Se₃ crystal. The balance between the higher order dispersive terms and nonlinearity, induced by lattice deformation, may lead to the different spatial localized excitations. They can be stable or unstable depending on the parameters of the dispersion law and the wave vector region. It is found that one- soliton and multisoliton solutions can be realized in the In₄Se₃ crystal. The parameters of soliton excitations (energy, amplitude, velocity) have been determined. The time evolution of soliton was investigated too

Keywords: dispersion law with low-energy non-parabolicity, fourth-order dispersive nonlinear Schrodinger equation, soliton excitation

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