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

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

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