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A Model connecting Quantum, Diffusion, Soliton, and Periodic Localized States under Brownian motion
connecting Quantum Diffusion Soliton Brownian motion Mesoscale and Nanoscale Physics
2011/10/9
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 ...
On Separation of Variables for Integrable Equations of Soliton Type
Integrable Equations Soliton Type Separation of Variables
2010/4/1
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...
Self-Consistent-Field Method and $\tau$-Functional Method on Group Manifold in Soliton Theory: a Review and New Results
self-consistent field theory collective theory soliton theory affine KM algebra
2010/4/13
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...
A Unified and Explicit Construction
of N-Soliton Solutions for the Nonlinear Schrödinger Equation
Schrö dinger equation N-fold Darboux transformation
N-soliton solutions
2007/8/15
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, ...
Explicit N-Fold Darboux Transformations and Soliton
Solutions for Nonlinear Derivative Schrödinger Equations
derivative nonlinear Schrö dinger equations Gerdjikov-Ivanov
equation N-fold Darboux transformation N-soliton solution
2007/8/15
2001Vol.35No.6pp.651-656DOI:
Explicit N-Fold Darboux Transformations and Soliton
Solutions for Nonlinear Derivative Schrödinger Equations
FAN En-Gui1,2
1 Institute...
A Simple Method to Obtain Exact Soliton Solutions for a Nonlinear Equation in a Loss Fibre System
nonlinear optics fibre communication
2007/8/15
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...
Soliton Properties of Light Pulses on the Surface of Ionic
Crystals Generated by Strong Nonlinear Effects
soliton polariton light pulse
2007/8/15
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...
Relationship Between Soliton-like Solutions and Soliton Solutions
to a Class of Nonlinear Partial Differential Equations
nonlinear partial differential equation doubly periodic solution
soliton solution
2007/8/15
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
...
Lienard Equation and Exact Solutions for Some Soliton-Producing
Nonlinear Equations
solitary wave Lienard equation
compound KdV equation compound KdV-Burgers equation
generalized Boussinesq equation generalized KP equation
Ginzburg-Landau equation
2007/8/15
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 ...
Direct Approach to Study of Soliton Perturbations of Defocusing
Nonlinear Schrödinger Equation
direct approach soliton perturbation
2007/8/15
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...
Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its
Multi-component Integrable Coupling System with Two Arbitrary Functions
loop algebra multi-component SC hierarchy multi-component integrable couplings
system
2007/8/15
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...
Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System
C-KdV hierarchy integrable coupling loop algebra
2007/8/15
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-...