Title
Bäcklund transformations, a simple transformation and exact solutions for dust-acoustic solitary waves in dusty plasma consisting of cold dust particles and two-temperature isothermal ions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Woodbury, N.Y. ,
Subject
Physics
Source (journal)
Physics of plasmas. - Woodbury, N.Y.
Volume/pages
6(1999) :12 , p. 4542-4547
ISSN
1070-664X
ISI
000083685900017
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Dusty plasma with inertial dust fluid and two-temperature ions admits both compressive and rarefactive solitary waves. The Korteweg-de Vries equations (KdV-type equations) with cubic nonlinearity at the critical density of low-temperature isothermal ions are considered to discuss properties of dust-acoustic solitary waves. In the vicinity of the critical density of low-temperature ions, a KdV-type equation with mixed nonlinearity is discussed. The method of characteristics is used and the Backlund transformations (BTs) are employed to generate new solutions from the old ones. Another new solution of the KdV-mKdV equation is obtained using a simple transformation between the sine-Gordon equation and a linear equation combined with an extension of the tanh method of Malfliet. (C) 1999 American Institute of Physics. [S1070-664X(99)00904-0].
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