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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 ...