Recently, there has been renewed interest in integrable boundary systems [1, 2] due to their connection to the Kondo problem [3] and boundary conformal field theory [4] in low-dimensional quantum many-body systems. Sklyanin [5] proposed a systematic approach to construct and solve integrable quantum spin systems with open boundary conditions (BC). Central to his method is the introduction of th...

A new system of coupled higher-order nonlinear Schrödinger equations is proposed which passes the Painlevé test for integrability well. A Lax pair and a multi-field generalization are obtained for the new system.

A 3D full-wave approach, based on the Foldy-Lax multiple scattering equations, is successfully extended to model massivelycoupled multiple vias using differential signaling and shared antipad in high speed vertical interconnects. For the first time, this method has been used and tested on via-pair with shared antipad in multilayered structure. The magnetic frill current source on the port is ca...

A noncommutative version of the semi-discrete Toda equation is considered. A Lax pair and its Darboux transformations and binary Darboux transformations are found and they are used to construct two families of quasideterminant solutions.

In [1] new discretizations of the Euler top have been found. They can be discribed with a Lax pair with a spectral parameter on an elliptic curve. This is used in this paper to perform a finite gap integration .

We find the Lax pair for a system of reduced Maxwell–Bloch equations that describes the propagation of twocomponent extremely short electromagnetic pulses through the medium containing two-level quantum particles with arbitrary dipole moments.