The behaviour of solutions of NLS equation of derivative type in the semiclassical limit

Jyh Hao Lee; Chi Kun Lin

doi:10.1016/S0960-0779(01)00157-6

The behaviour of solutions of NLS equation of derivative type in the semiclassical limit

Jyh Hao Lee^*, Chi Kun Lin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

The behaviour of solutions of nonlinear Schrodinger (NLS) equation of derivative type was discussed in the semiclassical limit. The genuine nonlinearity and strict hyperbolicity was proved for the dispersion limit of the derivative nonlinear Schrodinger equation (DNLS) while Riemann invariants remained distinct. The hydrodynamical structure and the local conservation laws of the DNLS of type II were established.

Original language	English
Pages (from-to)	1475-1492
Number of pages	18
Journal	Chaos, Solitons and Fractals
Volume	13
Issue number	7
DOIs	https://doi.org/10.1016/S0960-0779(01)00157-6
Publication status	Published - Jun 2002
Externally published	Yes

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Lee, J. H., & Lin, C. K. (2002). The behaviour of solutions of NLS equation of derivative type in the semiclassical limit. Chaos, Solitons and Fractals, 13(7), 1475-1492. https://doi.org/10.1016/S0960-0779(01)00157-6

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abstract = "The behaviour of solutions of nonlinear Schrodinger (NLS) equation of derivative type was discussed in the semiclassical limit. The genuine nonlinearity and strict hyperbolicity was proved for the dispersion limit of the derivative nonlinear Schrodinger equation (DNLS) while Riemann invariants remained distinct. The hydrodynamical structure and the local conservation laws of the DNLS of type II were established.",

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AB - The behaviour of solutions of nonlinear Schrodinger (NLS) equation of derivative type was discussed in the semiclassical limit. The genuine nonlinearity and strict hyperbolicity was proved for the dispersion limit of the derivative nonlinear Schrodinger equation (DNLS) while Riemann invariants remained distinct. The hydrodynamical structure and the local conservation laws of the DNLS of type II were established.

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DO - 10.1016/S0960-0779(01)00157-6

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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The behaviour of solutions of NLS equation of derivative type in the semiclassical limit

Abstract

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