Bifurcation of ion-acoustic superperiodic waves in auroral zone of Earth’s magnetosphere

  • Asit Saha
  • Punam Kumari Prasad
  • Santo BanerjeeEmail author
Original Article


Ion-acoustic (IA) superperiodic waves are explored in an unmagnetized plasma composing of mobile ions, Maxwell distributed cold electrons and non-thermal hot electrons. Implementing the phase portrait concept of the Hamiltonian systems, all distinct phase plots containing superperiodic and superhomoclinic trajectories are displayed for distinct data values of the physical parameters, such as, nonthermal parameter (\(\beta \)), number density ratio (\(\mu \)) of cold electrons and ions at equilibrium, temperature ratio (\(\sigma \)) of cold electrons to hot electrons and of traveling wave velocity (\(v\)). The IA superperiodic wave features are examined for various conditions of physical parameters by symbolic computations. The outcomes of this study may be beneficial in discerning IA superperiodic wave in auroral zone of the Earth’s magnetosphere.


Bifurcation Ion-acoustic wave Superperiodic wave Nonthermal electron 



Dr. Asit Saha is thankful to SMIT and SMU for research support funded by TMA Pai University Research Fund-Minor Grant (6100/SMIT/R&D/Project/05/2018).


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Asit Saha
    • 1
  • Punam Kumari Prasad
    • 1
  • Santo Banerjee
    • 2
    • 3
    Email author
  1. 1.Department of Mathematics, Sikkim Manipal Institute of TechnologySikkim Manipal UniversityRangpoIndia
  2. 2.Institute for Mathematical ResearchUniversiti Putra MalaysiaSerdangMalaysia
  3. 3.Malaysia-Italy Centre of Excellence for Mathematical ScienceUniversiti Putra MalaysiaSerdangMalaysia

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