[1] KAKUTANI T,MATSUUCHI K. Efect of viscosity on long gravity waves[J]. Journal of the physical society of Japan,1975,39(1):237-246.
[2]LIU P L F,ORFILA A. Viscous effects on transient long-wave propagation[J]. Journal of fluid mechanics,2004,520(1):83-92.
[3]SAUT J C,BONA J L,CHEN M. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I:derivation and linear theory[J]. Journal of nonlinear science,2002,12(4):283-318.
[4]DUTYKH D,DIAS F. Viscous potential free-surface flows in fluid layer of finite depth[J]. Comptes rendus mathematique,2007,345(2):113-118.
[5]DUTYKH D. Visco-potential free-surface flows and long wave modelling[J]. European journal of mechanics B/fluids,2009,28(3):430-443.
[6]CHEN M,DUMONT S,DUPAIGNE L,et al. Decay of solutions to a water wave model with a nonlocal viscous dispersive term[J]. Discrete and continuous dynamical systems,2010,27(4):1473-1492.
[7]CHEN M. Numerical investigation of a two-dimensional Boussinesq system[J]. Discrete and continuous dynamical systems,2009,28(4):1169-1190.
[8]DUMONT S,DUVAL J B. Numerical investigation of the decay rate of solutions to models for water waves with nonlocal viscosity[J]. International journal of numerical analysis and modeling,2013,10(2):333-349.
[9]ZHANG J,XU C. Finite difference/spectral approximations to a water wave model with a nonlocal viscous term[J]. Applied mathematical modelling,2014,38(19):4912-4925.
[10]LIN Y M,XU C J. Finite difference/spectral approximations for the time-fractional diffusion equation[J]. Journal of computational physics,2007,225(2):1533-1552.
[11]CANUTO C,HUSSAINI M,QUARTERONI A,et al. Spectral methods[M]. Berlin:Springer-Verlag,2006.
[12]KHISMATULLIN D,RENARDY Y,RENARDY M. Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations[J]. Journal of non-newtonian fluid mechanics,2006,140(1):120-131.