Algebraic-Geometric Solution to (2+1)-Dimensional Sawada-Kotera Equation 被引量：1

Algebraic-Geometric Solution to (2+1)-Dimensional Sawada-Kotera Equation

下载PDF

导出

摘要 Special solution of the （2＋1）-dimensional Sawada Kotera equation is decomposed into three （0＋1）- dimensional Bargmann flows. They are straightened out on the Jacobi variety of the associated hyperelliptic curve. Explicit algebraic-geometric solution is obtained on the basis of a deeper understanding of the KdV hierarchy.

作者 CAO Ce-Wen YANG Xiao

机构地区 Department of Mathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第1期31-36,共6页 理论物理通讯（英文版）

基金 The project supported by the Special Funds for Major State Basic Research Project under Grant No.G2000077301

关键词（2＋1）-dimensional Sawada Kotera equation algebraic-geometric solution higher KdV equations (2+1)维Sawada Kotera方程代书几何算法高KdV方程数学物理

分类号 O411.1 [理学—理论物理]

引文网络
相关文献

参考文献16

1M.J. Ablowitz and P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge (1991).
2M.J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia (1981).
3E.D. Belokolos, A.I. Bobenko, V.Z. Enolskii, A.R. Its, and V.B. Matveev, Algebra-Geometric Approach to Nonlinear Integrable Equations, Springer, Berlin (1994).
4C.W. Cao, Acta Math. Sin., New Series 7 (1991) 216.
5C.W. Cao, Acta Scientiarum Naturalium Universitatis Pekinensis 28, 1 (1992) 62.
6C.W. Cao, Y.T. Wu, and X.G. Geng, J. Math. Phys. 40 (1999) 3948.
7Y. Cheng and Y.S. Li, J. Phys. A: Math. Gen. 25 (1992) 419.
8B. Konopelchenko and V. Dubrovsky, Phys. Lett. A 102 (1984) 45.
9K. Sawada and J. Kotera, Prog. Theor. Phys. 51 (1974) 1355.
10J.D. Gibbon and R.K. Dodd, Proc. Roy. Soc. London A 358 (1977) 287.