59 citations · 95 across the 6 of their papers we have counts for
4 papers · 1 filter
A coupled Volterra system and its exact solutions
S. Y. Lou, Bin Tong, Man Jia +1
A coupled Volterra system is proposed. The model can be considered as one of the integrable discrete form of the coupled integrable KdV system which is a significant physical model…
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…
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…
Second order Lax pairs of nonlinear partial differential equations with Schwarz variants
Sen-yue Lou, Xiao-yan Tang, Qing-Ping Liu +1
In this paper, we study the possible second order Lax operators for all the possible (1+1)-dimensional models with Schwarz variants and some special types of high dimensional model…