Applications of elliptic functions to ion-acoustic plasma waves

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

doi:10.1140/epjd/e2008-00205-1

Applications of elliptic functions to ion-acoustic plasma waves

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

Mathematics

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Pages (from-to)	177-184
Number of pages	8
Journal	European Physical Journal D
Volume	50
Issue number	2
DOIs	https://doi.org/10.1140/epjd/e2008-00205-1
Publication status	Published - Dec 2008

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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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.",

author = "Khater, {A. H.} and Hassan, {M. M.} and Krishnan, {E. V.} and Peng, {Y. Z.}",

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AU - Khater, A. H.

AU - Hassan, M. M.

AU - Krishnan, E. V.

AU - Peng, Y. Z.

PY - 2008/12

Y1 - 2008/12

N2 - 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.

AB - 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.

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Applications of elliptic functions to ion-acoustic plasma waves

Abstract

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