113 citations · 239 across the 13 of their papers we have counts for
13 papers
Loop Algebra Splitting and Darboux Transformations for Nonlocal Derivative Nonlinear Schrödinger Hierarchies
Ziqi Li, Zhiwei Wu
We develop a unified algebraic framework for nonlocal derivative nonlinear Schrödinger (DNLS)-type hierarchies based on loop algebra splittings. Within this framework, nonlocal and…
Geometric aspects of Miura transformations
Changzheng Qu, Zhiwei Wu
The Miura transformation plays a crucial role in the study of integrable systems. There have been various extensions of the Miura transformation, which have been used to relate dif…
Darboux Transforms for the -hierarchy
Chuu-Lian Terng, Zhiwei Wu
The -hierarchy is constructed from the standard splitting of the affine Kac-Moody algebra , the Drinfeld-Sokolov -KdV hierarchy is o…
Smooth positon solutions of the focusing modified Korteweg-de Vries equation
Qiuxia Xing, Zhiwei Wu, Dumitru Mihalache +1
The -fold Darboux transformation of the focusing real mo\-di\-fied Kor\-te\-weg-de Vries (mKdV) equation is expressed in terms of the determinant representation. Using t…
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…
Isotropic curve flows on
Chuu-Lian Terng, Zhiwei Wu
Let be the vector space equipped with the bilinear form of index , where . A smooth…
Bäcklund transformations for Gelfand-Dickey flows, revisited
Chuu-Lian Terng, Zhiwei Wu
We construct Bäcklund transformations (BT) for the Gelfand-Dickey hierarchy (GD-hierarchy) on the space of -th order differential operators on the line. Suppose $L=\partial_…
N-dimension Central Affine Curve Flows
Chuu-Lian Terng, Zhiwei Wu
We construct a sequence of commuting central affine curve flows on invariant under the action of and prove the following results: (a) The central affine…
Central Affine Curve Flow on the Plane
Chuu-Lian Terng, Zhiwei Wu
We give the following results for Pinkall's central affine curve flow on the plane: (i) a systematic and simple way to construct the known higher commuting curve flows, conservatio…
High-order rogue waves for the Hirota equation
Linjing Li, Zhiwei Wu, Lihong Wang +1
The Hirota equation is better than the nonlinear Schrödinger equation when approximating deep ocean waves. In this paper, high-order rational solutions for the Hirota equation are…
The higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation
Lijuan Guo, Yongshuai Zhang, Shuwei Xu +2
We construct higher order rogue wave solutions for the Gerdjikov-Ivanov equation explicitly in term of determinant expression. Dynamics of both soliton and non-soliton solutions is…
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…