Soliton structures of a nonlinear Schrödinger equation involving the parabolic law

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作者
S. Salahshour
K. Hosseini
M. Mirzazadeh
D. Baleanu
机构
[1] Bahcesehir University,Faculty of Engineering and Natural Sciences
[2] Near East University TRNC,Department of Mathematics
[3] University of Guilan,Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan
[4] Cankaya University,Department of Mathematics, Faculty of Arts and Sciences
[5] Institute of Space Sciences,Department of Medical Research
[6] China Medical University,undefined
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关键词
Nonlinear Schrödinger equation; Parabolic law; Spatio-temporal dispersions; Nonlinear optics; Kudryashov method; Soliton structures;
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摘要
The search for soliton structures plays a pivotal role in many scientific disciplines particularly in nonlinear optics. The main concern of the present paper is to explore the dynamics of soliton structures in a nonlinear Schrödinger (NLS) equation with the parabolic law. In this respect, the reduced form of the NLS equation is firstly extracted; then, its soliton structures are derived in the presence of spatio-temporal dispersions using the Kudryashov method. As the completion of studies, the impact of increasing and decreasing the coefficients of the parabolic law on the dynamics of soliton structures is formally addressed through representing several two- and three-dimensional figures.
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