Applications of elliptic functions to ion-acoustic plasma waves

A. H. Khater, M. M. Hassan, E. V. Krishnan, Y. Z. Peng

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

New several classes of exact solutions are obtained in terms of the Weierstrass elliptic function for some nonlinear partial differential equations modeling ion-acoustic waves as well as dusty plasmas in laboratory and space sciences. The Weierstrass elliptic function solutions of the Schamel equation, a fifth order dispersive wave equation and the Kawahara equation are constructed. Moreover, Jacobi elliptic function solutions and solitary wave solutions of the Schamel equation are also given. The stability of some periodic wave solutions is computationally studied.

Original languageEnglish
Pages (from-to)177-184
Number of pages8
JournalEuropean Physical Journal D
Volume50
Issue number2
DOIs
Publication statusPublished - Dec 2008

Fingerprint

elliptic functions
plasma waves
acoustics
ions
ion acoustic waves
aerospace sciences
dusty plasmas
partial differential equations
wave equations
solitary waves

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Applications of elliptic functions to ion-acoustic plasma waves. / Khater, A. H.; Hassan, M. M.; Krishnan, E. V.; Peng, Y. Z.

In: European Physical Journal D, Vol. 50, No. 2, 12.2008, p. 177-184.

Research output: Contribution to journalArticle

Khater, A. H. ; Hassan, M. M. ; Krishnan, E. V. ; Peng, Y. Z. / Applications of elliptic functions to ion-acoustic plasma waves. In: European Physical Journal D. 2008 ; Vol. 50, No. 2. pp. 177-184.
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