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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...
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).
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...
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...
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 ...
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...
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...
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...
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...
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...
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,...
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...
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...

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