On Integrable Properties for Two Variable-Coefficient Evolution Equations

With the help of the extended binary Bell polynomials, the new bilinear representations, Backlund trans- formations, Lax pair and infinite conservation laws for two types of variable-coefficient nonlinear integrable equations are obtained, respectively, which are more straightforward than previous c...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 59; no. 6; pp. 671 - 678
Main Authors Zhang, Yu-Feng, Han, Zhong, Tam, Honwah
Format Journal Article
LanguageEnglish
Published 01.06.2013
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ISSN0253-6102
DOI10.1088/0253-6102/59/6/03

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Summary:With the help of the extended binary Bell polynomials, the new bilinear representations, Backlund trans- formations, Lax pair and infinite conservation laws for two types of variable-coefficient nonlinear integrable equations are obtained, respectively, which are more straightforward than previous corresponding results obtained. Finally, we obtain new multi-soliton wave solutions of a reduced soliton equations with variable coefficients.
Bibliography:ZHANG Yu-Feng , HAN Zhong ,and Honwah Tam(1College of Sciences, China University of Mining and Technology, Xuzhou 221116, China 2Department of Computer Science, Hong Kong Baptist University, Hong Kong, China)
11-2592/O3
Bell polynomials, Backlund transformation, conservation laws
With the help of the extended binary Bell polynomials, the new bilinear representations, Backlund trans- formations, Lax pair and infinite conservation laws for two types of variable-coefficient nonlinear integrable equations are obtained, respectively, which are more straightforward than previous corresponding results obtained. Finally, we obtain new multi-soliton wave solutions of a reduced soliton equations with variable coefficients.
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ISSN:0253-6102
DOI:10.1088/0253-6102/59/6/03