[1] |
Faddeev L D. Einstein and several contemporary tendencies in the theory of elementary particles[M]. Singapore: World Scientific, 1995: 247-266.
|
[2] |
Faddeev L D. Some comments on the many-dimensional solitons[J]. Letters in Mathematical Physics, 1976, 1(4): 289-293.
|
[3] |
Skyrme T H. A unified field theory of mesons and baryons[J]. Nuclear Physics, 1962, 31: 556-569.
|
[4] |
Lin F H, Yang Y S. Existence of energy minimizers as stable knotted solitons in the Faddeev model[J]. Commun Math Phys, 2004, 249(2): 273-303.
|
[5] |
Lin F H, Yang Y S. Existence of two-dimensional Skyrmions via the concentration compactness method[J]. Comm Pure Appl Math, 2004, 57(10): 1332-1351.
|
[6] |
Lin F H, Yang Y S. Energy splitting, substantial inequality and minimization for the Faddeev and Skyrme models[J]. Commun Math Phys, 2007, 269(1): 137-152.
|
[7] |
Faddeev L D. Knotted solitons[C]// Proceedings of the International Congress of Mathematicians. 2002: 235-244.
|
[8] |
Kong D X, Zhang Q, Zhou Q. The dynamics of relativistic strings moving in the Minkowski space $R^{\{1+n\}}$[J]. Commun Math Phys, 2007, 269(1): 153-174.
|
[9] |
Korepin V E, Faddeev L D. Quantization of solitons[J]. Theoretical and Mathematical Physics, 1975, 25(2): 1039-1049.
|
[10] |
Liu J L, Zhou Y. Initial-boundary value problem of the timelike extremal surface in Minkowski space[J]. J Math Phys, 2008, 49(4): 043507.
|
[11] |
Manton N, Sutcliffe P. Topological solitons[M]. New York: Cambridge University Press, 2004.
|
[12] |
Lin F H, Yang Y S. Static knot energy, Hopf charge, and universal growth law[J]. Nuclear Physics B, 2006, 747(3):455-463.
|
[13] |
Lin F H, Yang Y S. Analysis on Faddeev knots and Skyrme solitons: recent progress and open problems[J]. Contemp Math, 2007, 446: 319-344.
|
[14] |
Manton N S. Geometry of skyrmions[J]. Commun Math Phys, 1987, 111(3): 469-478.
|
[15] |
Manton N S, Schroers B J, Singer M A. The interaction energy of well-separated Skyrme solitons[J]. Commun Math Phys, 2004, 245(1): 123-147.
|
[16] |
Rivire T. A remark on the use of differential forms for the Skyrme problem[J]. Letters in Mathematical Physics, 1998, 45(3): 229-238.
|
[17] |
Rybakov Y P, Sanyuk V I. Methods for studying 3+1 localized structures: the Skyrmion as theabsolute minimizer of energy[J]. International Journal of Modern Physics A, 1992, 7(14): 3235-3264.
|
[18] |
Ward R S. Hopf solitons on $S^3$ and $R^3$[J]. Nonlinearity, 1999, 12(2): 241-246.
|
[19] |
Lei Z, Lin F H, Zhou Y. Global solutions of the evolutionary Faddeev model with small initial data[J]. Acta Mathematica Sinica (English Series), 2011, 27(2): 309-328.
|
[20] |
Zha D B, Liu J L, Zhou Y. Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model[J]. Calc Var Partial Differential Equations, 2021, 60(1): 35.
|
[21] |
Kong D X, Sun Q Y, Zhou Y. The equation of timelike extremal surface in Minkowski space $R^{\{2+n\}}$[J]. J Math Phys, 2006, 47(1): 013503.
|
[22] |
Kong D X, Zhang Q. Solutions formula and time periodicity for the motion of relativistic strings moving in the Minkowski space $R^{\{1+n\}}$[J]. Physica D, 2009, 238(9/10): 902-922.
|
[23] |
Liu J L, Zhou Y. The initial-boundary value problem on a strip for the equation of time-like extremal surfaces[J]. Discrete Contin Dyn Syst, 2009, 23(1/2): 381-397.
|
[24] |
Liu C M, Liu J L. Stability of traveling wave solutions to Cauchy problem of diagnolizable quasilinear hyperbolic systems[J]. Discrete Contin Dyn Syst, 2014, 34(11): 4735-4749.
|
[25] |
Liu J L, Wei F L. Stability of traveling wave solutions to the initial-boundary value problem for diagonalizable quasilinear hyperbolic systems[J]. Nonlinear Anal Real World Appl, 2015, 22: 342-353.
|
[26] |
Liu J L, Zhou Y. Uniqueness and stability of traveling waves to the time-like extremal hypersurface in Minkowski space[EB/OL]. (2019-03-11)[2022-04-15]. http://arxiv.org/abs/1903.04129.
|