4.7 Article

On the modulational of Schamel nonlinear Schrodinger equation and the associated envelope excitations in a degenerate relativistic quantum complex plasma

Journal

RESULTS IN PHYSICS
Volume 51, Issue -, Pages -

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ELSEVIER
DOI: 10.1016/j.rinp.2023.106702

Keywords

Modulational instability; Schamel nonlinear Schrodinger equation; Traped particles; Quantum dusty plasmas; Bright solitons

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The modulational instability (MI) and the associated envelope excitations, including bright solitons, in a multicomponent dense plasma consisting of relativistically degenerate electrons, trapped ions, and non-degenerate dust species are reported in this study. The Schamel/modified nonlinear Schrödinger equation (SNLSE) or (mNLSE) with a nonlinear term of fractional order (3/2) is derived using a conventional multiple scales perturbative technique. The MI criteria are derived in detail and the effects of different physical parameters on the profile of the envelope solitary wave are briefly discussed. The current results are important for understanding the mechanism of envelope excitations in complex plasmas and have applications in space observations and laboratory complex plasmas.
The modulational instability (MI) of Schamel/modified nonlinear Schrodinger equation (SNLSE) or (mNLSE) and the associated envelope excitations, including bright solitons in a multicomponent dense plasma consisting of relativistically degenerate electrons, trapped ions, and non-degenerate dust species are reported. A conventional multiple scales perturbative technique is utilized to get a SNLSE. This equation is different from the standard NLSE which the SNLSE has a nonlinear term with fractional order (3/2). The MI criteria are derived in detail. Also, the occurrence of envelope solitary wave and the effects of the different physical parameters on its profile are briefly discussed. The current results are advantageous to understand the mechanism of the propagation of the envelope excitations in complex plasmas with trapped ions and relativistically degenerate electrons, such as those observed in space observations and laboratory complex plasma.

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