Integrable deformations of integrable symplectic maps |
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| Authors: | Baoqiang Xia Ruguang Zhou |
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| Affiliation: | aDepartment of Mathematics, Zhengzhou University, Zhengzhou, Henan, 450052, PR China;bSchool of Mathematical Sciences, Xuzhou Normal University, Xuzhou, 221116, PR China |
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| Abstract: | A method of generating integrable deformations of integrable symplectic maps is presented. The integrable deformations of the integrable Toda symplectic map, the integrable Volterra symplectic map and the integrable Ablowitz–Ladik symplectic map, as well as their Lax representations are obtained. |
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| Keywords: | Integrable deformation Integrable symplectic map Lax representation Nonlinearization of Lax pair |
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