Based on two higher-dimensional extensions of Lie algebras, three kinds of specific Lie algebras are introduced. Upon constructing proper loop algebras, six isospectral matrix spectral problems are presented and they yield nonlinear integrable couplings of the AblowitzKaup-Newell-Segur hierarchy, the Broer-Kaup hierarchy and the Kaup-Newell hierarchy. Especially, the reduced cases of the result...

We consider the use of rational basis functions to compute scattering and inverse transforms associated with AKNS (Ablowitz–Kaup–Newell–Segur) system. The proposed numerical forward transform computes solution system that is valid on entire real axis thereby a reflection coefficient at point by solving single linear makes novel improvement in function approach oscillatory Cauchy operator, enabl...

2 Basic implementation ......................................................................................................... 4 2.1 The optoelectronic parts ......................................................................................................... 4 2.2 The electronic circuit .........................................................................................................

BrainScaleS-1 is a wafer-scale mixed-signal accelerated neuromorphic system targeted for research in the fields of computational neuroscience and beyond-von-Neumann computing. Here we present BrainScaleS Operating System (BrainScaleS OS): software stack gives users possibility to emulate networks described high-level network description language PyNN with minimal knowledge system, as well exper...

Solitary wave solutions to the Broer-Kaup equations and approximate long water wave equations are considered challenging by using the rst integral method.The exact solutions obtained during the present investigation are new. This method can be applied to nonintegrable equations as well as to integrable ones.

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