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EXPLICIT SOLUTIONS TO THE RIEMANN PROBLEM WITH ZEROS

When Lax pairs have property of anti-Hermitian evolution, the 2×2 matrix form Riemann problem with zeros is solved explicitly. And the multi-soliton solutions of the NLS equation and the sG equation are also found explicitly.
wulixb.iphy.ac.cn

An application of digital signals in an atom Chip

Digital signals (square wave) are superpositions of many frequency components in frequency domain. We analyze and calculate the coupling potentials between the atom and the frequency components respectively, and demonstrate that the atomic trapping adiabatic potential can be generated by taking into account the total coupling potential. An application scheme of the digital signal in an atom chip is proposed.
wulixb.iphy.ac.cn