Justification of the nonlinear Schrödinger equation in spatially periodic media
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Kurt Busch | Guido Schneider | Hannes Uecker | Lasha Tkeshelashvili | K. Busch | G. Schneider | H. Uecker | L. Tkeshelashvili
[1] A. R. Bishop,et al. Solitons in condensed matter: A paradigm , 1980 .
[2] Kurt Busch,et al. Photonic band structure theory: assessment and perspectives , 2002 .
[3] C. R. Willis,et al. Discrete Breathers , 1997 .
[4] E. A. Kuznetsov,et al. Hamiltonian formalism for nonlinear waves , 1997 .
[5] Guido Schneider,et al. Justification of modulation equations for hyperbolic systems via normal forms , 1998 .
[6] Sipe,et al. Envelope-function approach for the electrodynamics of nonlinear periodic structures. , 1988, Physical review. A, General physics.
[7] Stefan Teufel,et al. Adiabatic perturbation theory in quantum dynamics , 2003 .
[8] Govind P. Agrawal,et al. Nonlinear Fiber Optics , 1989 .
[9] Philip Holmes,et al. Nonlinear Propagation of Light in One-Dimensional Periodic Structures , 2000, J. Nonlinear Sci..
[10] Thomas Kappeler,et al. A note on gaps of Hill's equation , 2004 .
[11] J. Sipe,et al. Optical pulse propagation in nonlinear photonic crystals. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[12] Mark S. C. Reed,et al. Method of Modern Mathematical Physics , 1972 .
[13] G. Schneider. Validity and Limitation of the Newell‐Whitehead Equation , 1995 .
[14] F. Dalfovo,et al. Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.
[15] Christof Sparber,et al. Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves , 2004 .
[16] Tosio Kato. Perturbation theory for linear operators , 1966 .
[17] Guido Schneider,et al. The validity of modulation equations for extended systems with cubic nonlinearities , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[18] Guido Schneider,et al. Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems , 2001 .
[19] T. Colin. Rigorous derivation of the nonlinear Schrödinger equation and Davey–Stewartson systems from quadratic hyperbolic systems , 2002 .
[20] David Lannes,et al. Dispersive effects for nonlinear geometrical optics with rectification , 1998 .
[21] K. Busch,et al. Photonic band structure computations. , 2001, Optics express.
[22] L. Kalyakin. ASYMPTOTIC DECAY OF A ONE-DIMENSIONAL WAVE PACKET IN A NONLINEAR DISPERSIVE MEDIUM , 1988 .
[23] Hannes Uecker,et al. Stable Modulating Multipulse Solutions for Dissipative Systems with Resonant Spatially Periodic Forcing , 2001, J. Nonlinear Sci..
[24] Daniel B. Henry. Geometric Theory of Semilinear Parabolic Equations , 1989 .
[25] B. Hillebrands,et al. Brillouin light scattering studies of confined spin waves: linear and nonlinear confinement , 2001 .
[26] V. Zakharov,et al. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media , 1970 .
[27] Petre P. Teodorescu,et al. On the solitons and nonlinear wave equations , 2008 .
[28] Alejandro B. Aceves,et al. Optical gap solitons: Past, present, and future; theory and experiments. , 2000, Chaos.