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Chirped and chirp-free self-similar cnoidal and solitary wave solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients

✍ Scribed by Chaoqing Dai; Yueyue Wang; Caijie Yan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
848 KB
Volume
283
Category
Article
ISSN
0030-4018

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✦ Synopsis

By means of the similarity transformation connecting with the solvable stationary cubic-quintic nonlinear Schrödinger equation (CQNLSE), we construct explicit chirped and chirp-free self-similar cnoidal wave and solitary wave solutions of the generalized CQNLSE with spatially inhomogeneous group velocity dispersion (GVD) and amplification or attenuation. As an example, we investigate their propagation dynamics in a soliton control system.

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