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Abstract: We propose new equations of motion under the theory of the Brownian motion to connect the states of quantum, diffusion, soliton, and periodic localization. The new equations are nothing but ...
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$. In part...
The maximally-decoupled method has been considered as a theory to apply an basic idea of an integrability condition to certain multiple parametrized symmetries. The method is regarded as a mathematica...
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...
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...
2003Vol.39No.3pp.345-348DOI: Soliton Properties of Light Pulses on the Surface of Ionic Crystals Generated by Strong Nonlinear Effects NIU Jia-Sheng1,2 and MA Ben-Kun1 1...
2005Vol.43No.6pp.969-974DOI: Relationship Between Soliton-like Solutions and Soliton Solutions to a Class of Nonlinear Partial Differential Equations LIU Chun-Ping and LING Zhi ...
2004Vol.41No.6pp.849-858DOI: Lienard Equation and Exact Solutions for Some Soliton-Producing Nonlinear Equations ZHANG Wei-Guo,1 CHANG Qian-Shun,2 and ZHANG Qi-Ren1 1 ...
2004Vol.42No.6pp.895-898DOI: Direct Approach to Study of Soliton Perturbations of Defocusing Nonlinear Schrödinger Equation YU Hui-You and YAN Jia-Ren Department o...
2004Vol.42No.6pp.807-810DOI: Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System with Two Arbitrary Functions XIA T...
2004Vol.42No.4pp.494-496DOI: Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System XIA Tie-Cheng,1,2 YU Fa-Jun,1,2 and CHEN Deng-...

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