TY - JOUR
T1 - Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 521
EP - 534
PY - 2022
DA - 2022/04
SN - 12
DO - http://doi.org/10.4208/eajam.200121.190921
UR - https://global-sci.org/intro/article_detail/eajam/20404.html
KW - Integrable coupling, Guo-hierarchy, bi-Hamiltonian structure, self-consistent source.
AB - <p style="text-align: justify;">Water waves are actively studied. A new method to generate new wave systems through making perturbation in matrix spectral problems for integrable couplings
is presented, which is called the “completion process of integrable couplings”. As its application, we construct an integrable coupling hierarchy and show that each equation in
the resulting hierarchy has a bi-Hamiltonian structure by taking use of the component-trace identity. Moreover, the self-consistent sources of integrable coupling is presented
based on the theory of self-consistent sources.</p>