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Title
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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
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Physics of plasmas. - Woodbury, N.Y.
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Publication
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Woodbury, N.Y.
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1999
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ISSN
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1070-664X
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DOI
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10.1063/1.873741
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Volume/pages
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6
:12
(1999)
, p. 4542-4547
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ISI
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000083685900017
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Full text (Publisher's DOI)
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