3 papers
nlin.SI2019
A nonlocal variable coefficient modified KdV equation derived from two-layer fluid system and its exact solutions
Xi-Zhong Liu
A nonlocal form of a two-layer fluid system is proposed by a simple symmetry reduction, then by applying multiple scale method to it a general nonlocal two place variable coefficie…
nlin.SI2008
Nonlocal symmetries for bilinear equations and their applications
Xing-Biao Hu, Sen-Yue Lou, Xian-Min Qian
In this paper, nonlocal symmetries for the bilinear KP and bilinear BKP equations are re-studied. Two arbitrary parameters are introduced in these nonlocal symmetries by considerin…
nlin.SI2002
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…