52 citations · 94 across the 5 of their papers we have counts for
5 papers
New hierarchy of multiple soliton solutions for the (2+1)-dimensional Sawada-Kotera equation
Ruoxia Yao, Yan Li, Senyue Lou
A new transformation that can formulate a quintic linear equation and a pair of Hirota's bilinear equations for the (2+1)-dimensional Sawada-Kotera (2DSK) equat…
Multi-soliton solution to the two-component Hunter-Saxton equation
Bao-Feng Feng, Senyue Lou, Ruoxia Yao
In this paper, we study the bilinear form and the general N-soliton solution for a two-component Hunter-Saxton (2-HS) equation, which is the short wave limit of a twocomponent Cama…
Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Changzheng Qu, Junfeng Song, Ruoxia Yao
In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to th…
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…
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…