Abstract: A complex medium is generally a multiphase mixture. Unlike the classical solid, liquid and gas, its mechanical behaviors exhibit anomalous features such as the memory and the path-dependence characteristics, which can hardly be well described with the classical mechanics models of integral-order der...
Abstract: The reduced 3-wave and 4-wave Hamiltonian equations for ocean surface waves were widely used for the simplified structure with symmetric polynomial kernels and for the conservation of energy, etc. However, according to the related assumption for approximation in derivation, the range of applicabilit...
Abstract: An extended precise integration method (EPIM) for solving inhomogeneous two-point boundary value problems (TPBVPs) of linear time-invariant systems was proposed. Firstly, the interval quantities of the interval matrices and vectors were introduced to describe the discretization of the differential e...
Abstract: A lattice Boltzmann model for the heat conduction equation with a nonlinear source term and a nonlinear diffusion term was presented. 2 differential operators related to the source term distribution function were added to the evolution equation, on which the ChapmanEnskog expansion was carried out....
Abstract: Based upon the method of boundary displacement functions, the non-homogeneous state equations and the control equations for the solutions of rectangular laminated plates under various boundary conditions were derived. Through dimension expansion, the non-homogeneous equations were converted to homog...
Abstract: Since the power type variational principle was established by CHIEN Wei-zang, the differences and relations between the power type variational principles and the work-energy type quasi-variational principles in theory and practice have been a hot topic in the academic circle. According to the Jourda...
Abstract: The global stability of impulsive complex-valued neural networks with time delay on time scales was investigated. Based on the time scale calculus theory, both the continuous-time and discrete-time neural networks were described under the same framework. For the considered complex-valued neural netw...
Abstract: A class of high-dimensional weakly perturbed breaking solitary wave equations were studied. Firstly, the corresponding typical breaking solitary wave equations were considered. The exact solitary wave solution was obtained with the throwing method of undetermined coefficients. Then, the travelling w...
Abstract: The solution of the fractional differentialalgebraic systems (FDASs) was studied with the Adomian decomposition method. The influence of the algebraic constraints on the Adomian decomposition method was investigated, and the main difficulty of transforming the FDASs into fractional differential sys...
