A New Solution to the Hirota-Satsuma Coupled KdV Equations by the Dressing Method |
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| Authors: | ZHU Jun-Yi ZHOU De-Wen YANG Juan-Juan |
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| Affiliation: | 1.School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China;2.College of Science, Zhongyuan University of Technology, Zhengzhou 451191, China |
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| Abstract: | The Hirota-Satsuma coupled KdV equations associated 2×2 matrix spectral problem is discussed by the dressing method, which is based on the factorization of integral operator on a line into a product of two Volterra integral operators. A new solution is obtained by choosing special kernel of integral operator. |
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| Keywords: | dressing method Hirota-Satsuma coupled KdV equation exact solution |
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