Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System
Year: 2022
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 3 : pp. 521–534
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.200121.190921
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 3 : pp. 521–534
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Integrable coupling Guo-hierarchy bi-Hamiltonian structure self-consistent source.