Journal
STUDIES IN APPLIED MATHEMATICS
Volume 123, Issue 2, Pages 215-232Publisher
WILEY-BLACKWELL PUBLISHING, INC
DOI: 10.1111/j.1467-9590.2009.00454.x
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Funding
- Marie Curie Intra-European Fellowship
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The nonlinear Schr r odinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation, which was first derived by means of bi-Hamiltonian methods in [1]. The purpose of the present paper is threefold: (a) We show how this generalized NLS equation arises as a model for nonlinear pulse propagation in monomode optical fibers when certain higher- order nonlinear effects are taken into account; (b) We show that the equation is equivalent, up to a simple change of variables, to the first negative member of the integrable hierarchy associated with the derivative NLS equation; (c) We analyze traveling- wave solutions.
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