We propose a new type of reduction for integrable systems of coupled matrix PDEs; this reduction equates one matrix variable with the transposition of another multiplied by an anti-symmetric constant matrix. Via this reduction, we obtain a new integrable system of coupled derivative mKdV equations and a new integrable variant of the massive Thirring model, in addition to already known systems. ...

Auxiliary systems for matrix nonisospectral equations, including coupled NLS with external potential and KdV with variable coefficients, were introduced. Explicit solutions of nonisospectral equations were constructed using the GBDT version of the Bäcklund-Darboux transformation. PACS numbers: 02.30.Ik, 02.30Yy, 03.65.Ge

We present comparison and global existence results for solutions of coupled matrix Riccati differential equations appearing in closed loop Nash games and in mixed H2/H∞-type problems. Convergence of solutions is established for the diagonal case. Solutions of the corresponding algebraic equations are discussed using numerical examples.

The recent proposal to determine the (exact) correlation energy based on pairing matrix fluctuations by van Aggelen et al. ["Exchange-correlation energy from pairing matrix fluctuation and the particle-particle random phase approximation," preprint arXiv:1306.4957 (2013)] revived the interest in the simplest approximation along this path: the particle-particle random phase approximation (pp-RPA...

linear matrix equations arising in phase type queues. Stochastic Models, 1:29{52, 1985. [17] D. Mitra. Stochastic theory of a uid model of producers and consumers coupled by a buer.

A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. Block pulse functions are used to calculate the Lege...

In this note we provide iterative procedures for the numerical computation of stabilizing solutions of two types of coupled matrix Riccati differential equations arising in connection with Nash differential games using open loop or feedback strategies. Here we assume that these equations are associated with positive systems. The proposed procedures are based on solutions of uncoupled symmetric ...