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Stability of solitary wave solutions of simultaneous nonlinear Schrödinger equations

Published online by Cambridge University Press:  13 March 2009

J. C. Bhakta
Affiliation:
Department of Applied Mathematics, Calcutta University, Calcutta-700009, India
M. R. Gupta
Affiliation:
Department of Applied Mathematics, Calcutta University, Calcutta-700009, India

Abstract

The stability of localized solitary wave solutions of simultaneous nonlinear Schrödinger equations describing different types of interacting waves in a plasma has been investigated. It is found that the stability depends on the nature and strength of the interaction potential between the two waves. The possible results of interactions between two colliding solitary waves have been discussed using the conservation laws.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Abdulloev, Kh. D., Bogolyubskii, I. L. & Makhankov, V. G. 1975 Nucl. Fusion, 15, 21.CrossRefGoogle Scholar
Das, K. P. & Sihi, S. 1979 J. Plasma Phys. 21, 183.CrossRefGoogle Scholar
Degtyarev, L. M., Makhankov, V. G. & Rudakov, L. I. 1975 Soviet Phys. JETP, 40, 264.Google Scholar
Gibbons, J., Thornhill, S. G., Wardrop, M. J. & Ter Haar, D. 1977 J. Plasma Phys. 17, 153.CrossRefGoogle Scholar
Gupta, M. R., Som, B. K. & Das Gupta, B. 1981 J. Plasma Phys. 25, 499.CrossRefGoogle Scholar
Inoue, Y. 1976 J. Plasma Phys. 16, 439.CrossRefGoogle Scholar
Som, B. K., Gupta, M. R. & Das Gupta, B. 1979 Phys. Lett. A 72, 111.CrossRefGoogle Scholar
Morris, H. C. 1977 J. Math. Phys. 18, 285, 533.CrossRefGoogle Scholar
Spatschek, K. H. 1978 Phys. Fluids, 21, 1032.CrossRefGoogle Scholar
Thornhill, S. G. & Ter Haar, D. 1978 Phys. Reports, 43, 45.CrossRefGoogle Scholar