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Schrödinger's equation; waveguides

References:

[1] Stuart C.A.: **Self-trapping of an electromagnetic field and bifurcation from the essential spectrum**. Arch. Rat. Mech. Anal. 113 (1991), 65-96. MR 1079182 | Zbl 0745.35044

[2] Stuart C.A.: **Global properties of components of solutions of nonlinear second order ordinary differential equations on the half-line**. Ann. Sc. Norm. Sup. Pisa II (1975), 265-286. MR 0380013

[3] Stuart C.A.: **The behaviour of branches of solutions of nonlinear eigenvalue problems**. Rend. Ist. Matem. Univ. Trieste XIX (1987), 139-154. MR 0988378 | Zbl 0667.34027

[4] Kato T.: **Perturbation Theory for Linear Operators**. Springer-Verlag Berlin (1966). MR 0203473 | Zbl 0148.12601

[5] Weidmann J.: **Linear Operators in Hilbert Space**. Springer-Verlag Berlin (1980). MR 0566954

[6] Eastham, M.S.P.: **Theory of Ordinary Differential Equations**. Van Nostrand (1970). Zbl 0195.37001

[7] Akhmanov R.V., Khokhlov R.V., Sukhorukov A.P.: **Self-focusing, self-defocusing and self-modulation of laser beams**. Laser Handbook (ed. by F.T. Arecchi and E.O. Schulz Dubois), North Holland, Amsterdam, 1972.

[8] Mathew J.G.H., Kar A.K., Heckenberg N.R., Galbraigth I.: **Time resolved self-defocusing in InSb at room temperature**. IEEE J. Quantum Elect. 21 (1985), 94-99.

[9] Stegeman G.I., Wright E.M., Seaton C.T., Moloney J.V., Shen T.-P., Maradudin A.A., Wallis R.F.: **Nonlinear slab-guided waves in non-Kerr-like media**. IEEE J. Quantum Elect. 22 (1986), 977-983.

[10] Stuart C.A.: **Guidance Properties of Nonlinear Planar Waveguides**. Arch. Rational Mech. Anal. 125 (1993), 145-200. MR 1245069 | Zbl 0801.35136