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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Published in | Communications in theoretical physics Vol. 59; no. 6; pp. 671 - 678 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
01.06.2013
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Subjects | |
Online Access | Get full text |
ISSN | 0253-6102 |
DOI | 10.1088/0253-6102/59/6/03 |
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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. |
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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. ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0253-6102 |
DOI: | 10.1088/0253-6102/59/6/03 |