The Novel Symmetry Constraint and Binary Nonlinearization of the Super Generalized Broer-Kaup Hierarchy with Self-consistent Sources and Conservation Laws
Beibei Hu, Fang Fang, Ning Zhang
TL;DR
This paper introduces a new symmetry constraint and binary nonlinearization method for the super generalized Broer-Kaup hierarchy, expanding understanding of its integrability and conservation laws in the context of super Lie algebras.
Contribution
It develops a novel symmetry constraint and binary nonlinearization approach for the super gBK hierarchy, including explicit integrals of motion for Liouville integrability.
Findings
Established super Hamiltonian structure using super Lie algebra.
Derived self-consistent sources and conservation laws.
Explicitly provided integrals of motion for integrability.
Abstract
The super generalized Broer-Kaup(gBK) hierarchy and its super Hamiltonian structure are established based on a loop super Lie algebra and super-trace identity. Then the self-consistent sources, the conservation laws, the novel symmetry constraint and the binary nonlinearization of the super gBK hierarchy are generated, respectively. In addition, the integrals of motion required for Liouville integrability are explicitly given.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Ocean Waves and Remote Sensing