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In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
The talk is about applications of bilinear approaches to N-soliton solutions in (2+1)-dimensions. The Hirota N-soliton condition will be analyzed, together with novel examples of (2+1)-dimensional sol...
A new method is presented to find the finite symmetry groups of nonlinear physics systems. For the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, both the Lie point symmetry and the non-Lie...
We propose an ultradiscrete analogue of Pl¨ucker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the per- manent, tha...
We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation. Then we use th...
We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyan...
Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Backlund transformation, and ...
2001Vol.36No.4pp.401-404DOI: A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrödinger Equation FAN En-Gui Institute of Mathematics, ...
2001Vol.35No.6pp.651-656DOI: Explicit N-Fold Darboux Transformations and Soliton Solutions for Nonlinear Derivative Schrödinger Equations FAN En-Gui1,2 1 Institute...
2007Vol.47No.6pp.1063-1066DOI: Soliton Solutions in Three-Component Bose-Einstein Condensates ZHANG Xiao-Fei,1,2 XIE Chong-Wei,1 and WANG Shi-En2 1 Department of Physics...
2002Vol.38No.5pp.615-616DOI: A Simple Method to Obtain Exact Soliton Solutions for a Nonlinear Equation in a Loss Fibre System YANG Xiao-Xue1 and WU Ying1,2 1 Department...
2002Vol.37No.6pp.641-644DOI: New Soliton Solutions with Compact Support for a Family of Two-Parameter Regularized Long-Wave Boussinesq Equations YAN Zhen-Ya Department o...
2006Vol.46No.2pp.244-248DOI: Demonstration of Dark Soliton Solutions Found by Inverse Scattering Transform LI Cun, YANG Bai-Feng, CAI Hao, and HUANG Nian-Ning Department...
2006Vol.45No.4pp.581-586DOI: Coupled Modified Korteweg-de Vries Lattice in (2+1) Dimensions and Soliton Solutions YANG Hong-Xiang,1 LI Xiu-Zhen,2 XU Xi-Xiang,3 and DING Hai-Yong4 ...

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