Local Solvability for the 2-coupled System of Nonlinear Schrodinger Equations in a Banach Algebra Eo2,1

[1] J Bergh, J Löfström. Interpolation Spaces. Springer-Verlag, Berlin, 1974.
[2] A L Berkhoer, V E Zakharov. Self excitation of waves with diferent polarizations in nonlinear
media. Sov. Phys. JETP, 31:486–90, 1970.
[3] T Cazenave.Semilinear Schrödinger Equations. Amer. Math. Soc., Providence, 2003.
[4] C J Chen, P A Wai, C R Menyuk. Soliton switch using birefringent optical fibers. Opt.
Lett., 15: 477–9, 1990.
[5] S V Manakov. On the theory of two-dimensional stationary self-focusing of electromagnetic
waves. Sov. Phys. JEPT, 38: 248–53, 1974.
[6] A Pazy. Semigroups of linear operators and applications to partial differential equations.
Springer-Verlag, Berlin, 1983.
[7] B Tan, R Wu. Nonlinear Rossby waves and their interactions. Sci. China B, 36:1367–80,
1993.
[8] B Tan, S Liu. Collision interactions of solitons in a baroclinic atmosphere. J. Atmos. Sci.,
52: 1501–12, 1995.
[9] S Trillo, S Wabnitz. Ultrashort pulse train generation through induced modulational
polarization instability in a birefringent Kerr-like medium. J. Opt. Soc. Am., B6: 238–49,
1989.
[10] B X Wang, L F Zhao, B L Guo. Isometric decomposition operators, function spaces E
p,q
and applications to nonlinear evolution equations. J. Funct. Anal., 233:1–39, 2006.