Abstract

Abstract From the nonlinearization of Lax pairs (NLP), a family of finite-dimensional Hamiltonian systems (FDHSs) are presented constituting the decomposition of the modified Jaulent–Miodek (mJM) hierarchy. These FDHSs are further proved to be completely integrable in the Liouville sense in view of the generating function method. Finally, the relation between soliton equations and FDHSs is established with the aid of a set of polynomial integrals.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.