67 citations · 215 across the 12 of their papers we have counts for
12 papers
Vortices and strings induced from a generalized Abelian Higgs model
Lei Cao, Shouxin Chen
In this note we construct self--dual vortices and cosmic strings from the generalized Abelian Higgs theory. A special model of the theory is of focused interest in which the Higgs…
Existence of Vortices for Nonlinear Schrödinger Equations
Shouxin Chen, Guange Su
In this paper, we study the existence of vortices for two kinds of nonlinear Schrödinger equations arising from the Bose-Einstein condensates and geometric optics arguments, respec…
Dilaton Mass Formulas in a Hairy Binary Black Hole Model
Shouxin Chen, Yisong Yang
In this note an analytic integration is obtained for the differential equation governing the scalar-field-dependent mass in a hairy binary black hole model, in the context of the E…
Domain Wall Solitons Arising in Classical Gauge Field Theories
Lei Cao, Shouxin Chen, Yisong Yang
Domain wall solitons are basic constructs realizing phase transitions in various field-theoretical models and are solutions to some nonlinear ordinary differential equations descen…
Domain Wall Equations, Hessian of Superpotential, and Bogomol'nyi Bounds
Shouxin Chen, Yisong Yang
An important question concerning the classical solutions of the equations of motion arising in quantum field theories at the BPS critical coupling is whether all finite-energy solu…
Friedmann-Lemaitre Cosmologies via Roulettes and Other Analytic Methods
Shouxin Chen, Gary W. Gibbons, Yisong Yang
In this work a series of methods are developed for understanding the Friedmann equation when it is beyond the reach of the Chebyshev theorem. First it will be demonstrated that eve…