New Exact Solutions of Broer-Kaup Equations |
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Authors: | LIU Hong-Zhun and PAN Zu-Liang |
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Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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Abstract: | By a known transformation, (2+1)-dimensional Brioer--Kaupequations are turned to a single equation. The classical Liesymmetry analysis and similarity reductions are performed for thissingle equation. From some of reduction equations, new exactsolutions are obtained, which contain previous results, and moreexact solutions can be created directly by abundant knownsolutions of the Burgers equations and the heat equations. |
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Keywords: | Broer--Kaup equations similarity reductions exact solution |
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