120 citations · 431 across the 22 of their papers we have counts for
23 papers
Three-dimensional Curve Motions Induced by the Modified Korteweg-de Vries Equation
H. J. Shin
We have constructed one-phase quasi-periodic solutions of the curve equation induced by the mKdV equation. The solution is expressed in terms of the elliptic functions of Weierstra…
Sine-Gordon Soliton on a Cnoidal Wave Background
H. J. Shin
The method of Darboux transformation, which is applied on cnoidal wave solutions of the sine-Gordon equation, gives solitons moving on a cnoidal wave background. Interesting charac…
Soliton on a Cnoidal Wave Background in the coupled nonlinear Schrödinger equation
H. J. Shin
An application of the Darboux transformation on a cnoidal wave background in the coupled nonlinear Schrödinger equation gives a new solution which describes a soliton moving on a c…
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…
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…