Abstract
"We aim to construct a Liouville integrable Hamiltonian hierarchy from a specific matrix spectral problem with four potentials through the zero curvature formulation. The Liouville integrability of the resulting hierarchy is exhibited by a bi-Hamiltonian structure explored by using the trace identity. Illustrative examples of novel four-component coupled Liouville integrable nonlinear Schr¨odinger equations and modified Korteweg-de Vries equations are presented."
Reference44 articles.
1. "1. M.J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, 1981.
2. 2. A. Das, Integrable Models, World Scientific, Teaneck, NJ, 1989.
3. Tu, On Liouville integrability of zero-curvature equations and the Yang hierarchy, J;G.Z;Phys A Math Gen,1989
4. 4. W.X. Ma, A new hierarchy of Liouville integrable generalized Hamiltonian equations and its re- duction, Chin. Ann. Math. Ser. A 13, 115-123 (1992).
5. 5. M.J. Ablowitz, D.J. Kaup, A.C. Newell, and H. Segur, The inverse scattering transform-Fourier analysis for nonlinear problems, Stud. Appl. Math. 53, 249-315 (1974).
Cited by
37 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献