Solitonic interaction and Bäcklund transformation for a generalized inhomogeneous coupled nonlinear Schrödinger system

Yan Sun; Bo Tian

doi:10.1117/1.OE.56.12.126106

14 December 2017 Solitonic interaction and Bäcklund transformation for a generalized inhomogeneous coupled nonlinear Schrödinger system

Yan Sun, Bo Tian

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Optical Engineering, Vol. 56, Issue 12, 126106 (December 2017). https://doi.org/10.1117/1.OE.56.12.126106

Abstract

A generalized inhomogeneous coupled nonlinear Schrödinger system, which has certain applications in nonlinear optics or Bose–Einstein condensation, is investigated. The bilinear form and bilinear Bäcklund transformation are obtained via the Hirota method. N-soliton solutions are derived, and we graphically investigate the effects of the time-dependent coefficients on the solitons and their interactions. Physical quantities, such as the amplitude, width, velocity, and energy, are also derived. We see that the time-dependent coefficients have no influence on the amplitude of the soliton. With the changes in the amplitudes, the two solitons can, respectively, be enhanced and suppressed after the interaction. Interactions between the two cubic and two periodic solitons are also derived. The interactions are inelastic.

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Yan Sun and Bo Tian "Solitonic interaction and Bäcklund transformation for a generalized inhomogeneous coupled nonlinear Schrödinger system," Optical Engineering 56(12), 126106 (14 December 2017). https://doi.org/10.1117/1.OE.56.12.126106

Received: 9 July 2017; Accepted: 20 November 2017; Published: 14 December 2017

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