Geometric Integrability of Two-Component Camassa-Holm and Hunter-Saxton Systems |
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| Authors: | SONG Jun-Feng QU Chang-Zheng |
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| Affiliation: | 1.Center for Nonlinear Studies, Northwest University, Xi'an 710069, China;2.College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China;3.Department of Mathematics, Northwest University, Xi'an 710069, China |
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| Abstract: | It is shown that the two-component Camassa-Holm and Hunter-Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are directly constructed. In addition, a class of nonlocal symmetries depending on the pseudo-potentials are obtained. |
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| Keywords: | geometric integrability two-component Camassa-Holm system two-component Hunter-Saxtonsystem pseudo-spherical surface |
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