Kadomstev-Petviashvili solitons in quantum plasmas

被引：11
作者：
Sahu, Biswajit [1 ]
Ghosh, Naba Kumar [2 ]
机构：
[1] W Bengal State Univ, Dept Math, Kolkata 700126, India
[2] Gangapuri Siksha Sadan HS, Kolkata 700093, India
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2013年 / 343卷 / 01期
关键词：
Ion acoustic wave; Solitary wave; Quantum plasma; KP equation; VARIABLE DUST CHARGE; NONTHERMAL ELECTRONS; NUMERICAL-SIMULATION; EQUATION; ENERGY; IONS; DEVICES; MODEL; WAVES;
D O I：
10.1007/s10509-012-1246-8
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The propagation of nonlinear waves in a quantum plasma is studied. A quantum magnetohydrodynamic (QHD) model is used to take into account the effects of quantum force associated with the Bohm potential. Using the standard reductive perturbation technique, nonlinear Kadomtsev-Petviashvili (KP) equation is obtained to study the properties of ion acoustic waves (IAWs). For such waves the amplitude of the solitary waves is independent of the quantum parameter H (the ratio of the electron plasmon to electron Fermi energy), whereas the width and energy of the soliton increases with H.
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收藏
页码：289 / 292
页数：4
相关论文
共 31 条
[1]  
Acona M. G., 1989, PHYS REV B, V39, P9536
[2]   Ion-acoustic solitons in a magnetized plasma with nonthermal electrons [J].
Cairns, RA ;
Mamun, AA ;
Bingham, R ;
Shukla, PK .
PHYSICA SCRIPTA, 1996, T63 :80-86
[3]   Dense astrophysical plasmas [J].
Chabrier, G ;
Douchin, F ;
Potekhin, AY .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2002, 14 (40) :9133-9139
[4]   QUANTUM HYDRODYNAMIC SIMULATION OF HYSTERESIS IN THE RESONANT-TUNNELING DIODE [J].
CHEN, ZX ;
COCKBURN, B ;
GARDNER, CL ;
JEROME, JW .
JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 117 (02) :274-280
[5]   The cubic nonlinear Schrodinger equation in a fluid-filled elastic tube [J].
Duan, WS ;
Wang, BR ;
Wei, RJ .
PHYSICS LETTERS A, 1997, 224 (03) :154-158
[6]   Solitary solution and energy for the Kadomstev-Petviashvili equation in two temperatures charged dusty grains [J].
El-Shewy, E. K. ;
el Maaty, M. I. Abo ;
Abdelwahed, H. G. ;
Elmessary, M. A. .
ASTROPHYSICS AND SPACE SCIENCE, 2011, 332 (01) :179-186
[7]  
Gardner C.L., 1994, J APPL MATH, V54, P409
[8]   The Chapman-Enskog expansion and the quantum hydrodynamic model for semiconductor devices [J].
Gardner, CL ;
Ringhofer, C .
VLSI DESIGN, 2000, 10 (04) :415-435
[9]   NUMERICAL-SIMULATION OF A STEADY-STATE ELECTRON SHOCK-WAVE IN A SUBMICROMETER SEMICONDUCTOR-DEVICE [J].
GARDNER, CL .
IEEE TRANSACTIONS ON ELECTRON DEVICES, 1991, 38 (02) :392-398
[10]   NUMERICAL-METHODS FOR THE HYDRODYNAMIC DEVICE MODEL - SUBSONIC FLOW [J].
GARDNER, CL ;
JEROME, JW ;
ROSE, DJ .
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1989, 8 (05) :501-507
1234