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Nonlinear Waves in GaAs Semiconductor

100%
Abdelsalam U., Allehiany F., Moslem W.
Acta Physica Polonica A
|
2016
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vol. 129
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issue 4
472-477
EN
The nonlinear propagation of acoustic waves in electron-hole semiconductor plasmas is studied. For this purpose, the reductive perturbation method is employed to the basic equations obtaining the Gardner equation. The latter has been solved using an extended homogeneous balance method to obtain a set of analytical solutions including solitary wave solution. The effects of different physical parameters on the nonlinear structures are examined.
2
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On Darboux-Bäcklund Transformation and Positon Type Solution of Coupled Nonlinear Optical Waves

80%
Sen D. C., Chowdhury A. R.
Acta Physica Polonica A
|
2000
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vol. 98
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issue 1-2
3-10
EN
A Darboux-Bäcklund transformation is used to obtain a positon type solution of the nonlinear equations describing the propagation of coupled nonlinear optical pulses.This form of the positon solution is then compared with that obtained by the special limiting procedure applied to a two-soliton solution. It is observed that though the algebraic form of the two solutions is different yet both of these have singularities and the position of the singularities remains on the similar curve in the (x,t) plane. We also depict the form of these solutions graphically. Finally, it may be added that the method of Darboux-Bäcklund transformation is convenient for generating more than one-positon solution.
3
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Coupled Nonlinear System in (2+1) Dimension and Overturning Solitons

80%
Ghosh C., Chowdhury A.
Acta Physica Polonica A
|
1996
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vol. 89
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issue 4
459-466
EN
Coupled nonlinear integrable systems in (2+1) dimension are generated from a matrix Schrodinger-type inverse problem and solved explicitly to demonstrate a new phenomenon of overturning. Both, the two- and three-dimensional graphical depictions of the solution are presented. Our analysis is an extension of the uncoupled case reported earlier by Bogoyavlenskii. A unique feature of the solution is the occurrence of arbitrary functions of (y, t) in its functional form, which significantly changes the behaviour of the solution.
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