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8 papers · 1 filter
Vortex Strings and Nonabelian sine-Gordon Theories
Q-Han Park, H. J. Shin
We generalize the Lund-Regge model for vortex string dynamics in 4-dimensional Minkowski space to the arbitrary n-dimensional case. The n-dimensional vortex equation is identified…
Vortex String Dynamics in an External Antisymmetric Tensor Field
K. Lee, Q-Han Park, H. J. Shin
We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the…
Two Dimensional Anti-de Sitter Space and Discrete Light Cone Quantization
Jin-Ho Cho, Taejin Lee, Gordon Semenoff
We realize the two dimensional anti-de Sitter () space as a Kaluza-Klein reduction of the space in the framework of the discrete light cone quantization (DLCQ). Intr…
Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic medium
Q-Han Park, H. J. Shin
Using the Painlevé analysis, we investigate the integrability properties of a system of two coupled nonlinear Schrödinger equations that describe the propagation of orthogonally po…
Conservation Laws in Higher-Order Nonlinear Optical Effects
Jongbae Kim, Q-Han Park, H. J. Shin
Conservation laws of the nonlinear Schrödinger equation are studied in the presence of higher-order nonlinear optical effects including the third-order dispersion and the self-stee…
Complex sine-Gordon Equation in Coherent Optical Pulse Propagation
Q-Han Park, H. J. Shin
It is shown that the McCall-Hahn theory of self-induced transparency in coherent optical pulse propagation can be identified with the complex sine-Gordon theory in the sharp line l…