To find nontrivial high dimensional integrable models (especially in (3+l)-dimensions) is one of the most important problems in nonlinear physics. A systematic method to find some nontrivial high dimensional integrable models is established by means of noninvertible deformation relations. Starting f rom a noninvertible Miura type transformation, we find that the (l + l)-dimensional sinhGordon m...

For LTI plant, a benchmark tracking solution was recently proposed by optimal technique for discrete time linear multi-periodic repetitive control system that gives asymptotic perfect tracking, where the original tracking problem was transfered into a regulator problem by developing a new state-space representation that combines the plant and demand signal. However, in practice, the periods of ...

Abstract: In this paper, the nonlinear Schrödinger equation with power law nonlinearity is studied. The first integral method, the Riccati sub-ODE method are efficient methods to construct the exact solutions of nonlinear partial differential equations.By means of these methods, the periodic and solitary wave solutions of the nonlinear Schrödinger equation with power law nonlinearity are obtained.

This paper considers the optimal control problem for time-delay bilinear systems affected by sinusoidal disturbances with known frequency and measurable amplitude and phase. Firstly, using the differential homeomorphism, a timedelay bilinear system affected by sinusoidal disturbances is changed to a time-delay pseudo linear system through the coordinate transformation. Then the system with time...