Project supported by the National Natural Science Foundation of China (Grant Nos. 11361069 and 11775146).
We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane ...
supported by the National Natural Science Foundation of China (Grant No. 10674032)
The complete band gaps (CBGs) of shallow water waves propagating over bottoms with periodically drilled holes are investigated numerically by the plane wave expansion method. Four different patterns are considered, ...
supported in part by National Natural Science Foundation of China (Grant No 10772110)
A general solution, including three arbitrary functions, is obtained for a (2~l)-dimensional modified dispersive water-wave (MDWW) equation by means of the WTC truncation method. Introducing proper multiple valued...
Asymptotic solutions up to third-order which describe irrotational finite amplitude standing waves are derived in Lagrangian coordinates. The analytical Lagrangian solution that is uniformly valid for large times sati...