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6 papers · 2 filters
An Efficient Algorithm of Logarithmic Transformation to Hirota Bilinear Form of KdV-type Bilinear Equation
Yichao Ye, Lihong Wang, Zhaowei Chang +1
In this paper, an efficient algorithm of logarithmic transformation to Hirota bilinear form of the KdV-type bilinear equation is established. In the algorithm, some properties of H…
The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation
Shuwei Xu, Jingsong He
The Gerdjikov-Ivanov (GI) system of and is defined by a quadratic polynomial spectral problem with matrix coefficients. Each element of the matrix of n-fold Da…
The Darboux transformation of the derivative nonlinear Schrödinger equation
Shuwei Xu, Jingsong He, Lihong Wang
The n-fold Darboux transformation (DT) is a 2\times2 matrix for the Kaup-Newell (KN) system. In this paper,each element of this matrix is expressed by a ratio of $(n+1)\times (n+1)…
Explicit Flow Equations and Recursion Operator of the ncKP hierarchy
Jingsong He, Junyi Tu, Xiaodong Li +1
The explicit expression of the flow equations of the noncommutative Kadomtsev-Petviashvili(ncKP) hierarchy is derived. Compared with the flow equations of the KP hierarchy, our res…
Bosonization of Supersymmetric KdV equation
Xiao Nan Gao, S. Y. Lou
Bosonization approach to the classical supersymmetric systems is presented. By introducing the multi-fermionic parameters in the expansions of the superfields, the …
The Additional Symmetries for the BTL and CTL Hierarchies
Jipeng Cheng, Kelei Tian, Jingsong He
The Toda lattice (TL) hierarchy was first introduced by K.Ueno and K.Takasaki in \cite{uenotaksasai} to generalize the Toda lattice equations\cite{toda}. Along the work of E. Date,…