Asymmetric bound states of differential equations in nonlinear optics
Rendiconti del Seminario Matematico della Università di Padova, Tome 100 (1998), pp. 231-247 
@article{RSMUP_1998__100__231_0,
     author = {Ambrosetti, A. and Arcoya, D. and G\'amez, J. L.},
     title = {Asymmetric bound states of differential equations in nonlinear optics},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {231--247},
     year = {1998},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {100},
     mrnumber = {1675283},
     zbl = {0922.34020},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1998__100__231_0/}
}
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Ambrosetti, A.; Arcoya, D.; Gámez, J. L. Asymmetric bound states of differential equations in nonlinear optics. Rendiconti del Seminario Matematico della Università di Padova, Tome 100 (1998), pp. 231-247. https://www.numdam.org/item/RSMUP_1998__100__231_0/

[1] N.N. Akhmediev, Novel class of nonlinear surface waves: Asymmetric modes in a symmetric layered structure, Sov. Phys. JEPT, 56 (1982), pp. 299-303.

[2] A. Ambrosetti - M. Badiale, Homoclinics: Poincaré-Melnikov type results via a variational approach. Annales I.H.P. - Anal. Nonlin., to appear. Preliminary note on C. R. Acad. Sci. Paris, 323, Série I (1996), pp. 753-758. | Zbl | MR | Numdam

[3] A. Ambrosetti - M. Badiale, Variational perturbative methods and bifurcation of bound states from the essential spectrum, Preprint Scuola Normale Superiore, March 1997, to appear. | Zbl | MR

[4] M. Grillakis - J. Shatah - W. Strauss, Stability theory of solitary waves in the presence of symmetry I and II, Jour. Funct. Anal., 74 (1987), pp. 160-197 and 94 (1990), pp. 308-348. | Zbl | MR

[5] C.K.R.T. Jones - J.V. Moloney, Instability of standing waves in nonlinear optical waveguides, Phys. Lett. A, 117 (1986), pp. 176-184.

[6] Y.G. Oh, On positive muLti-bump states of nonlinear Schrödinger equations under multipte well potentials, Comm. Math. Phys., 131 (1990), pp. 223-253. | Zbl | MR

[7] C. Stuart, Guidance properties of nonlinear planar waveguides, Arch. Rational Mech. Analysis, 125 (1993), pp. 145-200. | Zbl | MR