A new integrable symplectic map associated with lattice soliton equations

Journal of Mathematical Physics - Tập 37 Số 5 - Trang 2338-2345 - 1996
Yongtang Wu1, Xianguo Geng2
1Department of Computing Studies, Hong Kong Baptist University, 224 Waterloo Road, Kowloon, Hong Kong
2Department of Mathematics, Zhengzhou University, Zhengzhou, Henan, 450052, People's Republic of China

Tóm tắt

A method is developed that extends the nonlinearization technique to the hierarchy of lattice soliton equations associated with a discrete 3×3 matrix spectral problem. A new integrable symplectic map and its involutive system of conserved integrals are obtained by the nonlinearization of spatial parts and the time parts of Lax pairs and their adjoint Lax pairs of the hierarchy. Moreover, the solutions of the typical system of lattice equations in the hierarchy are reduced to the solutions of a system of ordinary differential equations and a simple iterative process of the symplectic map.

Từ khóa


Tài liệu tham khảo

1990, Sci. China A, 33, 528

1991, Acta Math. Sin., 7, 216, 10.1007/BF02582998

1990, Phys. Lett. A, 147, 455, 10.1016/0375-9601(90)90606-O

1991, J. Phys. A, 24, 5043, 10.1088/0305-4470/24/21/017

1994, Phys. Lett. A, 194, 44, 10.1016/0375-9601(94)00705-T

1994, Phys. Lett. A, 185, 277, 10.1016/0375-9601(94)90616-5

1995, J. Phys. A, 28, 573, 10.1088/0305-4470/28/3/013

1992, Acta Math. Sin, New Ser., 8, 78, 10.1007/BF02595020

1993, J. Math. Phys., 34, 805, 10.1063/1.530418

1994, Phys. A, 212, 132, 10.1016/0378-4371(94)90143-0

1992, Phys. Lett. A, 167, 165, 10.1016/0375-9601(92)90222-8

1991, Phys. D, 49, 273, 10.1016/0167-2789(91)90149-4

1994, J. Math. Phys., 35, 4661, 10.1063/1.530807

1990, J. Phys. A, 28, 3903

Thông tin
Thông tin xuất bản

Journal of Mathematical Physics

Tập 37 Số 5

2338-2345

Thông tin tác giả