A Five-Component Generalized mKdV Equation and Its Exact Solutions
Keyword(s):
In this paper, a 3 × 3 spectral problem is proposed and a five-component equation that consists of two different mKdV equations is derived. A Darboux transformation of the five-component equation is presented relating to the gauge transformations between the Lax pairs. As applications of the Darboux transformations, interesting exact solutions, including soliton-like solutions and a solution that consists of rational functions of e x and t, for the five-component equation are obtained.
2006 ◽
Vol 20
(25)
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pp. 1575-1589
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2015 ◽
Vol 16
(7-8)
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pp. 301-306
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2019 ◽
Vol 68
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pp. 31-40
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2013 ◽
Vol 2013
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pp. 1-8
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Keyword(s):
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