Nonlinear structures: Cnoidal, soliton, and periodical waves in quantum semiconductor plasma

Journal Article · Fri Jan 15 00:00:00 EST 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4940346· OSTI ID:22493809

Tolba, R. E., E-mail: [e-mail]; El-Bedwehy, N. A., E-mail: [e-mail] ^[1]; Moslem, W. M., E-mail: [e-mail] ^[2]; Centre for Theoretical Physics, The British University in Egypt ^[3]; El-Labany, S. K., E-mail: [e-mail] ^[4]; Yahia, M. E., E-mail: [e-mail] ^[5]

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1. Department of Mathematics, Faculty of Science Damietta University, New Damietta 34517 (Egypt)
2. Department of Physics, Faculty of Science Port Said University, Port Said 42521 (Egypt)
3. (BUE), El-Shorouk City, Cairo (Egypt)
4. Department of Physics, Faculty of Science Damietta University, New Damietta 34517 (Egypt)
5. Faculty of Engineering and Natural Sciences, International University of Sarajevo (IUS), 71210 Ilidža, Sarajevo, Bosnia and Herzegovina (Bosnia and Herzegovina)

Properties and emerging conditions of various nonlinear acoustic waves in a three dimensional quantum semiconductor plasma are explored. A plasma fluid model characterized by degenerate pressures, exchange correlation, and quantum recoil forces is established and solved. Our analysis approach is based on the reductive perturbation theory for deriving the Kadomtsev-Petviashvili equation from the fluid model and solving it by using Painlevé analysis to come up with different nonlinear solutions that describe different pulse profiles such as cnoidal, soliton, and periodical pulses. The model is then employed to recognize the possible perturbations in GaN semiconductor.

• OSTI ID: 22493809
• Journal Information: Physics of Plasmas, Vol. 23, Issue 1; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
EXCHANGE INTERACTIONS
GALLIUM NITRIDES
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PERIODICITY
PERTURBATION THEORY
PLASMA SIMULATION
PULSES
QUANTUM PLASMA
RECOILS
SEMICONDUCTOR MATERIALS
SOLITONS
SOUND WAVES
THREE-DIMENSIONAL CALCULATIONS