Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation |
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| Institution: | 1. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;2. Shen Yuan Honors College, Beijing University of Aeronautics and Astronautics, Beijing 100191, China |
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| Abstract: | In this paper, the prolongation structures of a generalized coupled Korteweg-de Vries (KdV) equation are investigated and two integrable coupled KdV equations associated with their Lax pairs are derived. Furthermore, a Miura transformation related to a integrable coupled KdV equation is derived, from which a new coupled modified KdV equations is obtained. |
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