ANALYTICAL INVESTIGATION OF THE CAUDREY–DODD–GIBBON–KOTERA–SAWADA EQUATION USING SYMBOLIC COMPUTATION
2013 ◽
Vol 27
(06)
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pp. 1250124
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Keyword(s):
Lax Pair
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In this paper, the Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) equation is analytically investigated using the Hirota bilinear method. Based on the bilinear form of the CDGKS equation, its N-soliton solution in explicit form is derived with the aid of symbolic computation. Besides the soliton solutions, several integrable properties such as the Bäcklund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.
2009 ◽
Vol 23
(25)
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pp. 5003-5015
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2009 ◽
Vol 23
(10)
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pp. 2383-2393
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2019 ◽
Vol 33
(05)
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pp. 1950019
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2012 ◽
Vol 424-425
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pp. 564-567