Abstract
The methods of previous articles are extended herein, using the Miura-type transformation between two soliton equations and the gauge transformation between two associated eigenvalue problems, and a bi-Hamiltonian structure and involutive integrals of motion for x- and t-finite-dimensional integrable Hamiltonian systems (FDIHS) obtained from the decomposition of the Boussinesq equation and the modified Boussinesq equation are computed, respectively. This decomposition provides a way to obtain a certain kind of solution for the later two equations through solving two commuting FDIHS’s. The methods are also applied to the FDIHS’s related to the higher-order constraints.
Published Version
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