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K-P-Burgers equation in negative ion-rich relativistic dusty plasma including the effect of kinematic viscosity

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Chinese Physics B 2016年第10期25卷 215-221页

作者： A N Dev M K Deka J Sarma D Saikia N C Adhikary Department of Mathematics Siksha ‘O' Anusandhan University Department of Applied Sciences Institute of Science and Technology Gauhati University Department of Mathematics R G Baruah College Physical Sciences Division Institute of Advanced Study in Science and TechnologyVigyan Path Paschim Boragaon

The stationary solution is obtained for the K–P–Burgers equation that describes the nonlinear propagations of dust ion acoustic waves in a multi-component, collisionless, un-magnetized relativistic dusty plasma consisting of electrons, positive and negative ions in the presence of charged massive dust grains. Here, the Kadomtsev–Petviashvili(K–P) equation, threedimensional(3D) Burgers equation, and K–P–Burgers equations are derived by using the reductive perturbation method including the effects of viscosity of plasma fluid, thermal energy, ion density, and ion temperature on the structure of a dust ion acoustic shock wave(DIASW). The K–P equation predictes the existences of stationary small amplitude solitary wave,whereas the K–P–Burgers equation in the weakly relativistic regime describes the evolution of shock-like structures in such a multi-ion dusty plasma.

关键词： K–P–Burgers equation negative ion relativistic plasma reductive perturbation method

Dust Acoustic Compressive Waves in a Warm Dusty Plasma Having Non-Thermal Ions and Non-Isothermal Electrons

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Plasma Science and Technology 2015年第9期17卷 721-727页

作者： Apul N.DEV Manoj K.DEKA Rajesh SUBEDI Jnanjyoti SARMA Department of Science and Humanities College of Science and Technology Department of Applied Sciences Institute of Science and TechnologyGauhati University Department of Mathematics R.G.Baruah College

In this article an investigation is presented on the properties of dust acoustic（DA）compressive solitary wave propagation in an adiabatic dusty plasma,including the effect of nonthermal positive and negative ions and non-isothermal *** reductive perturbation method has been employed to derive the lower degree modified Kadomtsev-Petviashivili（mK-P）,3D Schamel-Korteweg-de-Vries equation or modified Kadomtsev-Petviashivili（mK-P） equations for dust acoustic solitary waves in a homogeneous,unmagnetized and collisionless plasma whose constituents are non-isothermal electrons,singly charged positive and negative non-thermal ions and massive charged dust *** stationary analytical solutions of the lower degree mK-P and mK-P equations are numerically analyzed,where the effect of various dusty plasma constituents on DA solitary wave propagation is taken into *** is observed that both the ions in dusty plasma play a key role in the formation of DA compressive solitary waves,and also the ion concentration and non-isothermal electrons control the transformation of the compressive potentials of the waves.

关键词： dusty plasma reductive perturbation method non-isothermal ions compressive solitary wave

Space time fractional KdV Burgers equation for dust acoustic shock waves in dusty plasma with non-thermal ions

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Chinese Physics B 2014年第7期23卷 316-322页

作者： Emad K.El-Shewy Abeer A.Mahmoud Ashraf M.Tawfik Essam M.Abulwafa Ahmed Elgarayhi Theoretical Physics Group Physics DepartmentFaculty of ScienceMansoura University

The KdV-Burgers equation for dust acoustic waves in unmagnetized plasma having electrons, singly charged non- thermal ions, and hot and cold dust species is derived using the reductive perturbation method. The Boltzmann distribution is used for electrons in the presence of the cold （hot） dust viscosity coefficients. The semi-inverse method and Agrawal variational technique are applied to formulate the space-time fractional KdV-Burgers equation which is solved using the fractional sub-equation method. The effect of the fractional parameter on the behavior of the dust acoustic shock waves in the dusty plasma is investigated.

关键词： dust-acoustic waves reductive perturbation method modified Riemann-Liouville fractionalderivative space-time fractional KdV-Burgers equation

The influence of Landau quantization on the propagation of solitary structures in collisional plasmas

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Communications in Theoretical Physics 2020年第8期72卷 148-153页

作者： S Hussain N Akhtar Theoretical Physics Division(TPD) PINSTECHPO NiloreIslamabad 44000Pakistan

In this work, we study damped ion acoustic solitary wave structures in magnetized dense plasmas. The collisional effects of ions with electrons and neutrals are considered. The trapping effects of electrons and Landau quantization are included in the plasma model under consideration. We assume that magnetic field is quantized such that the condition■ is satisfied. We have derived the damped Korteweg–de Vries(dKdV) equation by using small amplitude reductive perturbation technique. The time-dependent analytical and numerical solutions of the dKdV equation are presented. For numerical solutions we apply a two level finite difference scheme with the help of the Runge Kutta method. The effects of variations of different plasma parameters on the propagation characteristics of damped solitary structures in the presence of collisions are discussed.

关键词： soliton collisional plasmas finite difference method reductive perturbation method

Soliton excitations in a polariton condensate with defects

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Chinese Physics B 2018年第1期27卷 278-283页

作者： Abderahim Mahmoud Belounis Salem Kessal SNIRM Laboratory Faculty of Physics Universite des Sciences et de la Technologie Houari Boumediene (USTHB)

To study soliton excitations in a polariton condensate with defects, we use the Gross-Pitaevskii equation and its hydrodynamic form. An extra term is added to take into account the non-equilibrium nature of the polariton condensate and the presence of defects. The reductive perturbation method transforms these hydrodynamic equations into a modified Korteweg-de Vries equation in the long wavelength limit. We linearize this equation and study the soliton linear excitations. We give an analytic expression of traveling excitations using the variation of constants method. In the more general form, we show numerically that the excitations are oscillations simultaneously hut in an opposite way. i.e., the amplitude and the width of the dark soliton oscillate

关键词： solitons polariton condensates reductive perturbation method

Dissipation of Nonlinear Wave in Inhomogeneous Dust Plasma Crystal

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Communications in Theoretical Physics 2009年第11期52卷 941-944页

作者： FENG Tian-Jun Department of Physics Lanzhou Jiao Tong University Lanzhou 730070 China

A Korteweg-de Vires-type （KdV-type） equation and a modified Nonlinear Schrodinger equation （NLSE） for the dust lattice wave （DLW） are derived in a weakly inhomogeneous dust plasma crystal. It seems that the amplitude and the velocity of the dust lattice solitary waves decay exponentiaJly with increasing time in a dust lattice. The modulational instability of this dust lattice envelope waves is investigated as well. It is found that the waves are modulational stable under certain conditions. On the other hand, the waves are modulationaJ unstable if the conditions are not satisfied.

关键词： reductive perturbation method dust lattice wave

Effects of Spin Quantum Force in Magnetized Quantum Plasma

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Communications in Theoretical Physics 2011年第10期56卷 769-773页

作者：杨秀峰姜虹祁学宏段文山 College of Physics and Electronic Engineering Northwest Normal University

Starting from the governing equations for a quantum magnetoplasma including the electron spin -1/2 effects and quantum Bohm potential, we derive Korteweg-de Vries （KdV） equation of the system of quantum magneto- hydrodynamics （QMHD）. The amplitude and width of magnetosonic soliton with different parameters in the system are studied. It is found that the normalized Zeeman energy E plays a crucial role, for E ≥ 1 the amplitude τmξ and the width we of solitary wave all decrease as E increases. That is, the introduction of spin quantum force modifies the shape of solitary magnetosonic waves and makes them more narrower and shallower.

关键词： quantum magnetosonic soliton reductive perturbation method KdV equation

(2+1)-Dimensional Electron Acoustic Solitary Waves in an Unmagnetized Collisionless Plasma with Vortex-Like Hot Electrons

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Communications in Theoretical Physics 2007年第2期47卷 339-342页

作者： LIN Mai-Mai DUAN Wen-Shan Department of Physics,Northwest,Normal University,Lanzhou 730070,China Department of Physics Northwest Normal University

In this paper,(2+1)-dimensional electron acoustic waves (EAW) in an unmagnetized collisionless plasmahave been studied by the linearized method and the reductive perturbation technique,*** dispersionrelation and a modified Kadomtsev Petviashvili (KP) equation have been obtained for the EAW in the plasma consideringa cold electron fluid and a vortex-like hot *** is found from some numerical results that the parameter β (theratio of the free hot electron temperature to the hot trapped electron temperature) effects on the amplitude and thewidth of the electron acoustic solitary waves (EASW).It can be indicated that the free hot electron temperature andthe hot trapped electron temperature have very important effect on the characters of the propagation for the EASW.

关键词： electron acoustic solitary wave vortex-like hot electrons reductive perturbation method

The Solitary Waves of the Barotropic Quasi-Geostrophic Model with the Large-scale Orography

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Advances in Atmospheric Sciences 1998年第3期15卷 122-129页

作者：陈炯刘式适 Department of Geophysics Peking University Beijing

Starting from a modified barotropic quasi-geostrophic model equation, considering the actual situation of the large-orography of the Tibetan Plateau, neglecting its slope in x direction, and using the reductive perturbation method, then the solitary waves are obtained. The results show that the orography is essential factor exciting solitary Rossby waves in a flow without shear.

关键词： Barotrophic quasi-geostrophic model reductive perturbation method Solitary wave