Nonlinear magnetosonic waves(MSWs)in electron-ion plasmas play a critical role in plasma dynamics,with implications for energy transfer,particle acceleration,and astrophysical phenomena.In this study,deriving a genera...Nonlinear magnetosonic waves(MSWs)in electron-ion plasmas play a critical role in plasma dynamics,with implications for energy transfer,particle acceleration,and astrophysical phenomena.In this study,deriving a generalized nonlinear Schrödinger equation(NLSE)to describe weakly nonlinear magnetosonic wave packets,accounting for the interplay between magnetic pressure and plasma thermal pressure.Unlike previous works limited to linear or Korteweg-de Vries(KdV)type models,present paper reveals the conditions for the existence of various nonlinear wave structures,including Kuznetsov-Ma(K-M)breather soliton,Akhmediev breather(AB)soliton,bright soliton(BS),and rogue wave(RW).A detailed analysis shows how these waveforms depend on plasma parameters such as external magnetic field strength,electron and ion temperatures,and wave number.Additionally,this work explores a potential application of these findings,using multiple breather solutions as a diagnostic tool to infer challenging to measure plasma parameters from easily observable quantities.The present results not only extend the theoretical understanding of magnetosonic waves but also suggest practical approaches for future plasma diagnostics,providing a foundation for research in controlled fusion,space physics,and astrophysical plasma studies.展开更多
We investigate the zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system.We justify this singular limit rigorously in the framework of smooth solutions and obtain the nonisentropic com...We investigate the zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system.We justify this singular limit rigorously in the framework of smooth solutions and obtain the nonisentropic compressible magnetohydrodynamic equations as the dielectric constant tends to zero.展开更多
基金supported by the National Natural Science Foundation of China(No.12275223)the Gansu Natural Science Foundation(No.24JRRP004).
文摘Nonlinear magnetosonic waves(MSWs)in electron-ion plasmas play a critical role in plasma dynamics,with implications for energy transfer,particle acceleration,and astrophysical phenomena.In this study,deriving a generalized nonlinear Schrödinger equation(NLSE)to describe weakly nonlinear magnetosonic wave packets,accounting for the interplay between magnetic pressure and plasma thermal pressure.Unlike previous works limited to linear or Korteweg-de Vries(KdV)type models,present paper reveals the conditions for the existence of various nonlinear wave structures,including Kuznetsov-Ma(K-M)breather soliton,Akhmediev breather(AB)soliton,bright soliton(BS),and rogue wave(RW).A detailed analysis shows how these waveforms depend on plasma parameters such as external magnetic field strength,electron and ion temperatures,and wave number.Additionally,this work explores a potential application of these findings,using multiple breather solutions as a diagnostic tool to infer challenging to measure plasma parameters from easily observable quantities.The present results not only extend the theoretical understanding of magnetosonic waves but also suggest practical approaches for future plasma diagnostics,providing a foundation for research in controlled fusion,space physics,and astrophysical plasma studies.
基金supported by National Basic Research Program of China (Grant No. 2011CB309705)National Natural Science Foundation of China (Grant Nos. 11229101, 11371065 and 11271184)+2 种基金Program for New Century Excellent Talents in University (Grant No. 110227)the Priority Academic Program Development of Jiangsu Higher Education Institutionsthe Fundamental Research Funds for the Central Universities
文摘We investigate the zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system.We justify this singular limit rigorously in the framework of smooth solutions and obtain the nonisentropic compressible magnetohydrodynamic equations as the dielectric constant tends to zero.
