Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy |
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| Authors: | Yu Fa-Jun |
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| Institution: | School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China |
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| Abstract: | In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. From the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation. |
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| Keywords: | nonlinear integrable coupling system prolongation structure KdV soliton hierarchy |
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