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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, ...
Applications of Extended Hyperbolic Function Method for Quintic
Discrete Nonlinear Schrödinger Equation
extended hyperbolic function method quintic discrete
nonlinear Schrö dinger equation discrete solitons alternating phase
2007/8/15
2007Vol.47No.3pp.474-478DOI:
Applications of Extended Hyperbolic Function Method for Quintic
Discrete Nonlinear Schrödinger Equation
ZHAO Hong, HAN Ji-Guang, WANG Wei-Tao, an...
Periodic Waves of a Discrete Higher Order Nonlinear Schrödinger Equation
discrete higher-order nonlinear Schrö dinger equation
discrete Hirota equation elliptic function solutions
2007/8/15
2006Vol.46No.6pp.961-965DOI:
Periodic Waves of a Discrete Higher Order Nonlinear Schrödinger Equation
Robert Conte1 and K.W. Chow2
1 Service de physique de l'état ...
Optical Solitary Waves in Fourth-Order Dispersive Nonlinear
Schrödinger Equation with Self-steepening and Self-frequency Shift
fourth-order dispersive nonlinear Schrö dinger equation bright optical
solitary wave dark optical solitary wave
2007/8/15
2006Vol.45No.4pp.721-726DOI:
Optical Solitary Waves in Fourth-Order Dispersive Nonlinear
Schrödinger Equation with Self-steepening and Self-frequency Shift
ZONG Feng-De, DAI...
Exact Solutions for a Higher-Order Nonlinear Schrödinger
Equation in Atmospheric Dynamics
higher-order nonlinear Schrö dinger equation
atmospheric dynamics bright solitary wave dark solitary wave
2007/8/15
2006Vol.45No.3pp.573-576DOI:
Exact Solutions for a Higher-Order Nonlinear Schrödinger
Equation in Atmospheric Dynamics
HUANG Fei,1,2 TANG Xiao-Yan,1 and LOU Sen-Yue1,3
...
Exact Solutions to Extended Nonlinear Schrödinger
Equation in Monomode Optical Fiber
extended NLSE generally
projective Riccati equation method soliton solutions optical fiber
2007/8/15
2006Vol.45No.1pp.131-134DOI:
Exact Solutions to Extended Nonlinear Schrödinger
Equation in Monomode Optical Fiber
BAI Cheng-Lin, ZHAO Hong, and Wang Wei-Tao
Physica...
The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients
cubic-quintic nonlinear Schrö dinger equation with
variable coefficients homogeneous balance principle solitary wave
2007/8/15
2006Vol.45No.2pp.343-346DOI:
The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients
ZHANG Jin-Liang,1 WANG Ming-Liang,1,2 and LI Xiang...
New Exact Envelope Traveling Wave Solutions of High-Order Dispersive
Cubic-Quintic Nonlinear Schrödinger Equation
trial equation method exact solution nonlinear Schrö dinger equation
2007/8/15
2005Vol.44No.5pp.799-801DOI:
New Exact Envelope Traveling Wave Solutions of High-Order Dispersive
Cubic-Quintic Nonlinear Schrödinger Equation
LIU Cheng-Shi
Departm...
Hamiltonian Formalism of the Derivative Nonlinear Schrödinger Equation
soliton Hamiltonian theory nonlinear equation
2007/8/15
2003Vol.39No.2pp.181-188DOI:
Hamiltonian Formalism of the Derivative Nonlinear Schrödinger Equation
CAI Hao, LIU Feng-Min, and HUANG Nian-Ning
Department of Physics...
Wronskian Approach and One-Dimensional Schrödinger Equation
with Double-Well Potential
double-well potential Wronskian determinant
2007/8/15
2003Vol.39No.1pp.21-26DOI:
Wronskian Approach and One-Dimensional Schrödinger Equation
with Double-Well Potential
QIU Jian1 and SU Ru-Keng1,2
1 Department of Physic...
New Optical Solitons in High-Order Dispersive Cubic-Quintic Nonlinear Schrödinger Equation
nonlinear Schrö dinger equation high-order dispersion
optical soliton solution
2007/8/15
2004Vol.41No.6pp.829-832DOI:
New Optical Solitons in High-Order Dispersive Cubic-Quintic Nonlinear Schrödinger Equation
LI Hua-Mei, XU You-Shen, and LIN Ji
Depart...
New Exact Travelling Wave and Periodic Solutions of
Discrete Nonlinear Schrödinger Equation
discrete nonlinear
Schrö dinger equation hyperbolic tangent
function approach solitary wave solution periodic wave solution
2007/8/15
2005Vol.43No.2pp.240-244DOI:
New Exact Travelling Wave and Periodic Solutions of
Discrete Nonlinear Schrödinger Equation
YANG Qin, DAI Chao-Qing, and ZHANG Jie-Fang
...
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...
Schrödinger Equation Solutions for small r and resulting Functional Relations
Schrö dinger equation Bessel equation Airy functions Associated Laguerre functions
2010/4/15
The Schrödinger equation is examined for small r (i.e. one step beyond the limit r \rightarrow 0) for the cases V(r) \rightarrow rk, (k>0), and V(r) \rightarrow r-k (0 In both cases the sol...