An open problem on supernonlinear waves in a two-component Maxwellian plasma
Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Majitar, Rangpo, 737136, East-Sikkim, India
2 Department of Mathematics, Siksha Bhavana, Visva Bharati University, 731235, Santiniketan, India
3 Department of Mathematical Sciences, “Giuseppe Luigi Lagrange” Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, Italy
Accepted: 28 September 2020
Published online: 9 October 2020
An unsolved problem in Maxwellian plasmas is delineated as, supernonlinear waves (SNWs) cannot exist in Maxwellian plasmas with less than three components. The criteria to generate SNWs in plasmas are the occurrence of at least two minima separated by at least one maxima in the curve of corresponding potential energy. This research is about the existence of SNWs in a two-component electron-ion plasma with Maxwell distributed electrons. The possible range of Mach number on the existence of SNWs is also reported. Analytical forms of all possible solitary, solitary-cusp and supernonlinear periodic wave solutions are derived. This research lights the existence of SNWs in a two-component Maxwellian plasma, which was unsolved till its inception from 2011.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020