Abstract
By means of sn-function expansion method and cn-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented.
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Communicated by ZHANG Hong-qing
Foundation items: the National Key Basic Research Development Project Program of China (20020269003); the Natural Science Foundation of Shanghai (ZD14012)
Biography: XU Gui-qiong, Doctor, E-mail: xuguiqiong@yahoo.com
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Gui-qiong, X., Zhi-bin, L. Explicit solutions to the coupled KdV equations with variable coefficients. Appl Math Mech 26, 101–107 (2005). https://doi.org/10.1007/BF02438371
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DOI: https://doi.org/10.1007/BF02438371
Key words
- en-function method
- sn-function method
- periodic wave-like solution
- solitary wave-like solution
- coupled KdV equations with variable coefficient