11 citations · 11 across the 5 of their papers we have counts for
5 papers
Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics
Dong Wang, Yi-Tian Gao, Xin Yu +2
In this paper, we investigate a generalized (2+1)-dimensional Hirota-Satsuma-Ito (HSI) equation in fluid mechanics. Via the Painleve analysis, we find that the HSI equation is Pain…
Periodic parabola solitons for the nonautonomous KP equation
Yingyou Ma, Zhiqiang Chen, Xin Yu
Kadomtsev-Petviashvili (KP) equation, who can describe different models in fluids and plasmas, has drawn investigation for its solitonic solutions with various methods. In this pap…
Solitons and breathers for nonisospectral mKdV equation with Darboux transformation
Ling-Jun Liu, Xin Yu
Under investigation in this paper is the nonisospectral and variable coefficients modified Kortweg-de Vries (vc-mKdV) equation, which manifests in diverse areas of physics such as…
Darboux Transformation for the Nonisospectral and Variable-coefficient KdV Equation
Ling-Jun Liu, Xin Yu
With the nonuniform media taken into account, the nonisospectral and variable-coefficient Korteweg-de Vries equation, which describes various physical situations such as fluid dyna…
Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation
Xin Yu, Zhi-Yuan Sun, Kai-Wen Zhou +1
A variable-coefficient forced Korteweg-de Vries equation with spacial inhomogeneity is investigated in this paper. Under constraints, this equation is transformed into its bilinear…