Asymptotical analysis of a nonlinear Sturm–Liouville problem: Linearisable and non-linearisable solutions

Author:

Kurseeva Valeria1,Moskaleva Marina1,Valovik Dmitry1

Affiliation:

1. Department of Mathematics and Supercomputing, Penza State University, Krasnaya Street 40, 440026, Penza, Russian Federation. E-mails: 79273698109@ya.ru, m.a.moskaleva1@gmail.com, dvalovik@mail.ru

Publisher

IOS Press

Subject

General Mathematics

Reference39 articles.

1. M.J. Adams, An Introduction to Optical Waveguides, John Wiley & Sons, Chichester, New York–Brisbane–Toronto, 1981.

2. N.N. Akhmediev and A. Ankevich, Solitons, Nonlinear Pulses and Beams, Chapman and Hall, London, 1997.

3. Nonlinear waves in saturable self-focusing thin films bounded by linear media;Al-Bader;IEEE Journal of Quantum Electronics,1988

4. Dual variational methods in critical point theory and applications;Ambrosetti;Journal of Functional Analysis,1973

5. W.O. Amrein, A.M. Hinz and D.B. Pearson, Sturm–Liouville Theory: Past and Present, Birkhäuser Verlag, Basel/Switzerland, 2005.

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