Special Conditional Similarity Reduction Solutions for Two Nonlinear Partial Differential Equations |
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| Authors: | MA Zheng-Yi |
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| Affiliation: | Department of Mathematics, Zhejiang Lishui University, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | We present a method of special conditional similarity reduction solutions for nonlinear partial differential equations. As concrete examples of its application, we apply this method to the (2+1)-dimensional modified Broer-Kaup equations andthe variable coefficient KdV-mKdV equation, which have extensivephysics backgrounds, and obtain abundant exact solutions derivedfrom some reduction equations. |
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| Keywords: | conditional similarity reduction (2+1)-dimensional modified Broer-Kaup equations |
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