相对论简并量子等离子体中完全非线性重离子声波行波解的动力学研究

Abstract

Abstract:

Based on recent advancements on ion-acoustic wave models, a fully nonlinear heavy ion-acoustic waves (HIAWs), in astrophysical degenerate relativistic quantum plasmas (ADRQP), which is studied by Sultana and Schlickeiser, is investigated. We study the dynamical behavior of the model to determine all exact explicit traveling wave solutions. To guarantee the existence of the aforementioned solutions, all parameter conditions are determined. Our procedure shows that the model has bounded solutions (including kink and anti-kink wave solutions, periodic peakon, pseudo-peakon wave solutions, and compact solutions). These results completely improve the study of traveling wave solutions for the mentioned model.

Key words: Solitary wave solution, Periodic peakon, Compacton, Kink and anti-kink wave, Pseudo-peakon, Bifurcation, Singular traveling wave system

CLC Number:

O175.2

Leta Temesgen Desta,Wenjun Liu,Jian Ding. Dynamics of Traveling Wave Solutions to Fully Nonlinear Heavy Ion-Acoustic Degenerate Relativistic Quantum Plasmas[J].Acta mathematica scientia,Series A, 2021, 41(2): 496-506.

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References 25

1	Marklund M , Shukla P K . Nonlinear collective effects in photon-photon and photon-plasma interactions. Rev Mod Phys, 2006, 78, 591- 640 doi: 10.1103/RevModPhys.78.591
2	Fortov V E . Extreme states of matter on Earth and in space. Physics Uspekhi, 2009, 52, 615- 647 doi: 10.3367/UFNe.0179.200906h.0653
3	Drake R P . Perspectives on high-energy-density physics. Phys Plasmas, 2009, 16, 00555017
4	Chandrasekhar S . Dynamical instability of gaseous masses approaching the Schwarzschild limit in general relativity. Phys Rev Lett, 1964, 12, 114- 116
5	Shapiro Stuart L , Teukolsky S A . Black holes, naked singularities and cosmic censorship. Amer Sci, 1991, 79, 330- 343
6	Chabrier G , Saumon D , Potekhin A Y . Dense Plasmas in astrophysics: from gaint planets to neuron stars. J Phys A: Math Gen, 2006, 39, 4411- 4419 doi: 10.1088/0305-4470/39/17/S16
7	Masood W , Eliasson B . Electrostatic solitary waves in a quantum plasma with relativistically degenerate electrons. Phy Plasmas, 2011, 18, 034503 doi: 10.1063/1.3556122
8	Roy N , Tasnim S , Mamun A . Solitary waves and double layers in an ultra-relativistic degenerate dusty electron-positron-ion plasma. Phys of Plasmas, 2012, 19, 033705 doi: 10.1063/1.3688877
9	Rahman U , Ali S , Mushtaq A , Qamar A . Nonlinear ion acoustic excitations in relativistic degenerate, astrophysical electron-positron-ion plasmas. Plasma Phys, 2013, 79, 817- 823 doi: 10.1017/S0022377813000524
10	Rahman U , Kourakis I , Qamar A . Electrostatic solitary waves in relativistic degenerate electron-positron-ion plasma. IEEE Trans Plasma Sci, 2015, 43, 974- 984 doi: 10.1109/TPS.2015.2404298
11	El-Labany S , El-Taibany F , El-Samahy E , et al. Ion acoustic solitary waves in degenerate electron-ion plasmas. IEEE Trans Plasma Sci, 2016, 44, 842- 848 doi: 10.1109/TPS.2016.2539258
12	Atteya A , Behery E E , El-Taibany W F . Ion acoustic shock waves in a degenerate relativistic plasma with nuclei of heavy elements. Eur Phys J Plus, 2017, 132, 109 doi: 10.1140/epjp/i2017-11367-2
13	Islam S , Sultana S , Mamun A A . Ultra-low frequency shock dynamics in degenerate relativistic plasmas. Phys Plasmas, 2017, 24, 092308 doi: 10.1063/1.4994196
14	Mamun A , Amina M , Schlickeiser R . Heavy nucleus-acoustic spherical solitons in self-gravitating super-dense plasmas. Phys Plasmas, 2017, 24, 042307 doi: 10.1063/1.4981262
15	Sultana S , Schlickeiser R . Fully nonlinear heavy ion-acoustic solitary waves in astrophysical degenerate relativistic quantum plasmas. Astrophys Space Sci, 2018, 363, 103 doi: 10.1007/s10509-018-3317-y
16	Sagdeev R Z . Cooperative phenomena and shock waves in collisionless plasmas. Rev plasma phys, 1966, 4, 23- 91
17	Osman M S . One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation. Nonlinear Dyn, 2019, 96, 1491- 1496 doi: 10.1007/s11071-019-04866-1
18	Lendermann M , Koh J M , Tan J S , et al. Bifurcations and dynamical analysis of Coriolis-stabilized spherical lagging pendula. Nonlinear Dyn, 2019, 96, 921- 931 doi: 10.1007/s11071-019-04830-z
19	Li J , Chen G . On a class of singular nonlinear traveling wave equations. Internat J Bifur Chaos, 2007, 17, 4049- 4065 doi: 10.1142/S0218127407019858
20	Li J . Singular Nonlinear Traveling Wave Equations: Bifurcations and Exact Solution. Beijing: Science Press, 2013
21	Malwe B H , Betchewe G , Doka S Y , et al. Travelling wave solutions and soliton solutions for the nonlinear transmission line using the generalized Riccati equation mapping method. Nonlinear Dyn, 2016, 84, 171- 177 doi: 10.1007/s11071-015-2318-4
22	An X L , Li Z . Dynamics analysis and Hamilton energy control of a generalized Lorenz system with hidden attractor. Nonlinear Dyn, 2018, 94, 2995- 3010 doi: 10.1007/s11071-018-4539-9
23	Byrd P F , Friedman M D . Handbook of Elliptic Integrals for Engineers and Scientists. Berlin: Springer, 1971
24	Li J , Zhu W , Chen G . Understanding peakons, periodic peakons and compactons via a shallow water wave equation. Internat J Bifur Chaos, 2016, 26, 1650207 doi: 10.1142/S0218127416502072
25	Leta T D , Li J . Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation. Nonlinear Dyn, 2017, 89, 509- 529 doi: 10.1007/s11071-017-3468-3

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Dynamics of Traveling Wave Solutions to Fully Nonlinear Heavy Ion-Acoustic Degenerate Relativistic Quantum Plasmas

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