18 citations · 32 across the 3 of their papers we have counts for
3 papers
nlin.PS2009★ 18 cited
Approximate homotopy symmetry method and homotopy series solutions to the six-order boussinesq equation
Xiaoyu Jiao, Yuan Gao, S. Y. Lou
An approximate homotopy symmetry method for nonlinear problems is proposed and applied to the six-order boussinesq equation. We summarize the general formulas for similarity reduct…
nlin.PS2009★ 10 cited
Approximate perturbed direct homotopy reduction method: infinite series reductions to two perturbed mKdV equations
Xiaoyu Jiao, Ruoxia Yao, S. Y. Lou
An approximate perturbed direct homotopy reduction method is proposed and applied to two perturbed modified Korteweg-de Vries (mKdV) equations with fourth order dispersion and seco…
nlin.SI2008★ 4 cited
Approximate symmetry reduction approach: infinite series reductions to the KdV-Burgers equation
Xiaoyu Jiao, Ruoxia Yao, Shunli Zhang +1
For weak dispersion and weak dissipation cases, the (1+1)-dimensional KdV-Burgers equation is investigated in terms of approximate symmetry reduction approach. The formal coherence…