59 citations · 164 across the 15 of their papers we have counts for
4 papers · 2 filters
Solitary wave solutions and their velocity selections and prohibitions for a general Boussinesq type fluid model
Chun-li Chen, Sen-yue Lou
The possible solitary wave solutions for a general Boussinesq (GBQ) type fluid model are studied analytically. After proving the non-Painlevé integrability of the model, the first…
New variable separation approach: application to nonlinear diffusion equations
Shun-li Zhang, Sen-yue Lou, Chang-zheng Qu
The concept of the derivative-dependent functional separable solution, as a generalization to the functional separable solution, is proposed. As an application, it is used to discu…
Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation
Heng-chun Hu, Sen-yue Lou, Qing-ping Liu
Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary…
Variable separation approach for a differential-difference system: special Toda equation
Xian-min Qian, Sen-yue Lou, Xing-biao Hu
A multi-linear variable separation approach is developed to solve a differential-difference Toda equation. The semi-discrete form of the continuous universal formula is found for a…