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A newly revised inverse scattering transform for DNLS+ equation under nonvanishing boundary condition

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Wuhan University Journal of Natural Sciences

Abstract

A newly revised inverse scattering transform (IST) for the derivative nonlinear Schrödinger (DNLS+) equation with non-vanishing boundary condition (NVBC) and normal group velocity dispersion is proposed by introducing a suitable affine parameter in Zakharov-Shabat integral kern. The explicit breather-type one-soliton solution, which can reproduce one pure soliton at the degenerate case and one bright soliton solution at the limit of vanishing boundary, has been derived to verify the validity of the revised IST.

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Authors and Affiliations

  1. School of Physics and Technology, Wuhan University, Wuhan, 430072, Hubei, China

    Guoquan Zhou

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  1. Guoquan Zhou
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Correspondence to Guoquan Zhou.

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Foundation item: Supported by the National Natural Science Foundation of China (10775105)

Biography: ZHOU Guoquan, male, Ph.D., Associate professor, research direction: nonlinear integrable equation and field theory.

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Zhou, G. A newly revised inverse scattering transform for DNLS+ equation under nonvanishing boundary condition. Wuhan Univ. J. Nat. Sci. 17, 144–150 (2012). https://doi.org/10.1007/s11859-012-0819-2

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  • DOI: https://doi.org/10.1007/s11859-012-0819-2

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