15 citations · 20 across the 3 of their papers we have counts for
4 papers · 1 filter
Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation
Lijuan Guo, P. G. Kevrekidis, Jingsong He
A family of higher-order rational lumps on non-zero constant background of Davey-Stewartson (DS) II equation are investigated. These solutions have multiple peaks whose heights and…
Weakly integrable Camassa-Holm-type equations
Peilong Dong, Zhiwei Wu, Jingsong He
Series of deformed Camassa-Holm-type equations are constructed using the Lagrangian deformation and Loop algebra splittings. They are weakly integrable in the sense of modified Lax…
New Hierarchies of Derivative nonlinear Schrödinger-Type Equation
Zhiwei Wu, Jingsong He
We generate hierarchies of derivative nonlinear Schrödinger-type equations and their nonlocal extensions from Lie algebra splittings and automorphisms. This provides an algebraic e…
The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
Yongshuai Zhang, Lijuan Guo, Shuwei Xu +2
In this paper, we provide a simple method to generate higher order position solutions and rogue wave solutions for the derivative nonlinear Schrödinger equation. The formulae of th…