具有自洽源和守恒律的超广义Broer-Kaup方程族的新对称约束和二元非线性化
The Novel Symmetry Constraint and Binary Nonlinearization of the Super Generalized Broer-Kaup Hierarchy with Self-consistent Sources and Conservation Laws
摘要：
基于loop超李代数和超迹恒等式，建立了超广义Broer-Kaup（gBK）族及其超Hamilton结构.然后，自洽源，守恒律，新的对称性约束和二元非线性化的超gBK族，分别产生。此外，明确给出了刘维尔可积性所需的运动积分。
英文摘要：
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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