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 journalArticlepeer-review

10 Citations (Scopus)


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
Issue number2
Publication statusPublished - Dec 2008

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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