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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long time behavior of the Sine-Gordon equation
正弦 戈登方程 长时间行为 黎曼-希尔伯特问题
2023/4/26
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
The new integrable deformations of short pulse equation and sine-Gordon equation, and their solutions
integrable deformed short pulse equation integrable deformed sine-Gordon equation
2010/12/28
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equation (IDSPE).
Properties of the 1/cosh(t) Laser Pulse, Supersymmetry, and the sine-Gordon Equation
Properties of the 1/cosh(t) Laser Pulse Supersymmetry sine-Gordon Equation
2011/1/21
In this Letter, we explain a well-known but little understood effect in Laser Physics: when a
two-level atom, initially in the ground state, is subjected to a 1/ cosh(t) laser pulse, it remains in th...
A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable $x$ and the tempor...
A direct method for solving the generalized sine-Gordon equation
generalized sine-Gordon equation direct method
2010/4/1
The generalized sine-Gordon (sG) equation was derived as an integrable generalization of the sG equation. In this paper, we develop a direct method for solving the generalized sG equation without reco...
An integrable generalization of the sine-Gordon equation on the half-line
Inverse spectral theory Riemann-Hilbert problem boundary value problem
2010/4/7
We analyze a generalization of the sine-Gordon equation in laboratory coordinates on the half-line. Using the Fokas transform method for the analysis of initial-boundary value problems for integrable ...
Exact Travelling Solutions of Discrete sine-Gordon Equation via Extended Tanh-Function Approach
discrete sine-Gordon equation exact
travelling wave solution extended tanh-function approach
2007/8/15
2006Vol.46No.1pp.23-27DOI:
Exact Travelling Solutions of Discrete sine-Gordon Equation via Extended Tanh-Function Approach
DAI Chao-Qing1 and ZHANG Jie-Fang2
1 Departme...
Solitary Waves of a Perturbed sine-Gordon Equation
solitary waves bifurcation sine-Gordon equation
2007/8/15
2002Vol.37No.1pp.21-26DOI:
Solitary Waves of a Perturbed sine-Gordon Equation
HUA Cun-Cai and LIU Yan-Zhu
Department of Engineering Mechanics, Shanghai Jiao Tong Univers...
Breather Dynamics in the Perturbed sine-Gordon Equation
sine-Gordon equation soliton perturbation theory
2007/8/15
2003Vol.40No.4pp.390-392DOI:
Breather Dynamics in the Perturbed sine-Gordon Equation
TU Tao1
and CHENG Geng2,3,4
1 Lab of Quantum Communication and Computation,
Univer...
Extended sine-Gordon Equation Method and Its
Application to Maccari's System
Maccari's system exact travelling wave solution extended
sine-Gordon equation method
2007/8/15
2005Vol.44No.5pp.783-788DOI:
Extended sine-Gordon Equation Method and Its
Application to Maccari's System
SONG Li-Na and ZHANG Hong-Qing
Department of Applied Mathematic...
Exact Jacobian Elliptic Function Solutions to sine-Gordon Equation
Jacobian elliptic function periodic wave solution transformation sine-Gordon
equation
2007/8/15
2005Vol.44No.1pp.23-30DOI:
Exact Jacobian Elliptic Function Solutions to sine-Gordon Equation
FU Zun-Tao,1,2 YAO Zhen-Hua,1 LIU Shi-Kuo,1 and LIU Shi-Da1,2
1 School of P...
2005Vol.43No.6pp.1023-1026DOI:
Exact Solutions to Triple sine-Gordon Equation
FU Zun-Tao,1,2 LIU Shi-Kuo,1 and LIU Shi-Da1,2
1 School of Physics, Peking University, Beij...
Green's Function Method for Perturbed sine-Gordon Equation
solitons nonlinear
equation perturbation
2007/8/15
2004Vol.41No.6pp.907-910DOI:
Green's Function Method for Perturbed sine-Gordon Equation
LIU Feng-Ming, CAI Hao, LIU Zheng-You, and HUANG Nian-Ning
Department of Physics,...
Novel Solutions to sine-Gordon Equation from Modified Bäcklund
Transformation
sine-Gordon equation
Bä cklund transformation
novel solutions
2007/8/15
2004Vol.41No.6pp.805-806DOI:
Novel Solutions to sine-Gordon Equation from Modified Bäcklund
Transformation
BI Jin-Bo, CHEN Zhe-Yun, and CHEN Deng-Yuan
Department o...
A Special Two-Soliton Solution of sine-Gordon Equation
soliton sine-Gordon equation Hirota direct method kink
2007/8/15
2005Vol.43No.1pp.9-12DOI:
A Special Two-Soliton Solution of sine-Gordon Equation
AO Sheng-Mei and YAN Jia-Ren
Department of Physics, Hunan Normal University, Changsha 41...