Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent

Vladimir Gerdjikov; Georgi Grahovski

doi:10.21427/3csg-9j68

Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent

Vladimir Gerdjikov, Georgi Grahovski

Technological University Dublin

Research output: Contribution to conference › Paper › peer-review

Abstract

Using the dressing Zakharov-Shabat method we re-derive the effects of the two-soliton interactions for the MNLS equations related to the BD.I-type symmetric spaces. Next we generalize this analysis for the Heisenberg ferromagnet type equations, gauge equivalent to MNLS.

Original language	English
DOIs	https://doi.org/10.21427/3csg-9j68
Publication status	Published - 2010
Event	SAIP Conference - Sozopol, Bulgaria Duration: 21 Jun 2010 → 26 Jun 2010

Conference

Conference	SAIP Conference
Country/Territory	Bulgaria
City	Sozopol
Period	21/06/10 → 26/06/10
Other	Second Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences

Keywords

dressing Zakharov-Shabat method
two-soliton interactions
MNLS equations
BD.I-type symmetric spaces
Heisenberg ferromagnet type equations
gauge equivalent

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10.21427/3csg-9j68Licence: CC BY-NC-SA

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title = "Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent",

abstract = "Using the dressing Zakharov-Shabat method we re-derive the effects of the two-soliton interactions for the MNLS equations related to the BD.I-type symmetric spaces. Next we generalize this analysis for the Heisenberg ferromagnet type equations, gauge equivalent to MNLS.",

keywords = "dressing Zakharov-Shabat method, two-soliton interactions, MNLS equations, BD.I-type symmetric spaces, Heisenberg ferromagnet type equations, gauge equivalent",

author = "Vladimir Gerdjikov and Georgi Grahovski",

year = "2010",

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language = "English",

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T1 - Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent

AU - Gerdjikov, Vladimir

AU - Grahovski, Georgi

PY - 2010

Y1 - 2010

N2 - Using the dressing Zakharov-Shabat method we re-derive the effects of the two-soliton interactions for the MNLS equations related to the BD.I-type symmetric spaces. Next we generalize this analysis for the Heisenberg ferromagnet type equations, gauge equivalent to MNLS.

AB - Using the dressing Zakharov-Shabat method we re-derive the effects of the two-soliton interactions for the MNLS equations related to the BD.I-type symmetric spaces. Next we generalize this analysis for the Heisenberg ferromagnet type equations, gauge equivalent to MNLS.

KW - dressing Zakharov-Shabat method

KW - two-soliton interactions

KW - MNLS equations

KW - BD.I-type symmetric spaces

KW - Heisenberg ferromagnet type equations

KW - gauge equivalent

U2 - 10.21427/3csg-9j68

DO - 10.21427/3csg-9j68

M3 - Paper

T2 - SAIP Conference

Y2 - 21 June 2010 through 26 June 2010

ER -

Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent

Abstract

Conference

Keywords

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