Slow and fast modulation instability and envelope solitons of ion-acoustic wave in electron–ion–positron plasma having ion stream and superthermal electrons

Abstract

Slow and fast modulation instability and envelope soliton of ion-acoustic wave (IAW) are studied in an electron–ion–positron plasma when the ions are warm and have constant stream velocity, positrons are isothermal and electrons are superthermal. The non-linear Schrodinger (NLS) equation has been derived using the Fried and Ichikawa method and the solution of envelope soliton is obtained. It is seen that IAW propagates with two modes (slow and fast) in the presence of an ion stream in the plasma which results in slow and fast modulation instability of the wave. The stability criteria for slow mode (SM) and fast mode (FM) of the wave are established and studied graphically for different values of the ion temperature, positron density, positron temperature and kappa factor of electrons. The bright envelope soliton and dark envelope soliton of SM and FMs of the wave in electron–ion–positron plasma are also studied. The solution of rogue waves (RWs) is obtained from the NLS equation and the nature of RWs of the SM and FM of the wave is discussed graphically. Our results are new and no author has reported this kind of results of slow and fast modulation instability of IAW till now.

KEYWORDS:

• Non-linear Schrodinger equation
• Fried and Ichikawa method
• ion-acoustic wave
• ion stream
• slow and fast mode
• modulational instability
• envelop soliton
• rogue waves
• electron–ion–positron plasma

Acknowledgments

The authors are grateful to the reviewer for his constructive comments for the improvement of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

S. N. Paul

Dr S. N. Paul was born in 1943 at Biram Nagar, Hooghly, West Bengal, India. He has passed B.Sc. (Hons. in Physics) from Serampore College affiliated to Burdwan Univesity, West Bengal, India in 1963 and M.Sc. (Physics) from Burdwan University in 1966. PhD (Sc) degree was awarded to him in 1983 from Jadavpur University, Kolkata-700032. He was the Principal of Serampore Girls’ College and Swami Vivekananda Institute of Science and Technology (Kolkata-700140). The fields of his research are Waves and Instabilities in Plasma, Ionospheric Plasma, Laser Plasma, Relativistic Plasma, Quantum Plasma, Solitons and Double Layers in Plasma etc. He has guided nine research scholars for PhD degree of Jadavpur University. He has published more than a hundred research papers in National and International Journals.

A. Roychowdhury

Prof A. Roychowdhury was born on 3rd January 1947 in Calcutta, India. He completed graduation with Physics and Mathematics from Presidency College, Calcutta University in the year 1964. Later studied Applied Mathematics for Post Graduation. His research was on High Energy Physics theory from Jadavpur University in the year 1972.He then became Professor of Physics in Jadavpur University where his research was on SOLITONS, Chaos, Integrable Systems, Electronic Simulation of Chaos, Nonlinear Optics, Nonlinear Plasma Physics. He has completed 12 research projects and has guided 42 research scholars. He was a Research Asssociate of ICTP Triest Italy from 1982 to 1987. Later was a European Economic Visiting Professor to Paderborn Germany in the year 1989. He is a Member of New York Academy of Sciences.

Indrani Paul

Ms Indrani Paul was born in 1981 in Kolkata, India. She has passed B.Sc. (Hons. in Comp. Sc.) with first-class from Acharya Prafulla Chandra College affiliated to Calcutta University in 2002 and M.Sc. (Comp. Sc.) with first-class from Banaras Hindu University, U.P., India in 2004. She is a research scholar in the Physics Department of Jadavpur University, Kolkatta-700032, India. Within a month, she will submit her PhD thesis at Jadavpur University. She has already published sixteen research papers in National and International Journals.

S. Chaudhuri

S. Chaudhuri did his graduation in Physics from Calcutta University. Later his MsC in Physics from Jadavpur University with Specialization in Nonlinear Waves. He then pursued his research on Nonlinear Plasma Physics under the Joint supervision of Prof A. Roy Chowdhury and Prof Basudev Ghose. Recently he has submitted his Thesis for the PhD degree.