The ZS-AKNS inverse scattering transform with poles of multiple orders

Zhuhan Jiang

doi:10.1016/0375-9601(90)90576-A

The ZS-AKNS inverse scattering transform with poles of multiple orders

Zhuhan Jiang

University of Manchester

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

11 Citations (Scopus)

Abstract

The classical ZS-AKNS inverse method is generalised to include in a natural way poles of arbitrary orders in the transmission coefficient a(z)^-1, without imposing meromorphicity on the reflection coefficients. Compact forms of the generalised soliton solutions associated with single poles of arbitrary order n are also given together with simple examples.

Original language	English
Pages (from-to)	57-62
Number of pages	6
Journal	Physics Letters. Section A: General, Atomic and Solid State Physics
Volume	148
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(90)90576-A
Publication status	Published - 6 Aug 1990
Externally published	Yes

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title = "The ZS-AKNS inverse scattering transform with poles of multiple orders",

abstract = "The classical ZS-AKNS inverse method is generalised to include in a natural way poles of arbitrary orders in the transmission coefficient a(z)-1, without imposing meromorphicity on the reflection coefficients. Compact forms of the generalised soliton solutions associated with single poles of arbitrary order n are also given together with simple examples.",

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AB - The classical ZS-AKNS inverse method is generalised to include in a natural way poles of arbitrary orders in the transmission coefficient a(z)-1, without imposing meromorphicity on the reflection coefficients. Compact forms of the generalised soliton solutions associated with single poles of arbitrary order n are also given together with simple examples.

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The ZS-AKNS inverse scattering transform with poles of multiple orders

Abstract

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