Beginning with several basic hypotheses of quantum mechanics, we give a new quantum model in econophysics. In this model, we define wave functions and operators of the stock market to establish the Schrödinger equation for stock price. Based on this theoretical framework, an example of a driven...

The bilinear form of the non-isospectral mKdV equation is given and the exact N-soliton solutions are obtained through Hirota method and Wronskian technique, respectively.

A new loop algebra G˜M is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component coupled Burgers hierarchy is obtained. Furthermore, an expanding loop algebra F˜M of the loop algebra G˜M is presented. It follows that the...

It is shown that if a new bilinear Bäcklund transformation to Boussinesq equation has been reduced by the gauge transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already known ones.

In this paper, a new method is presented to analyze the linear stability of the synchronized state in arbitrarily coupled complex dynamical systems with time delays. The coupling configurations are not restricted to the symmetric and irreducible connections or the non-negative off-diagonal...

We study the synchronization of coupled phase oscillators in random complex networks. The topology of the networks is assumed to be vary over time. Here we mainly study the onset of global phase synchronization when the topology switches rapidly over time. We find that the results are, to some...