Moving space curve equations and a family of coupled KdV type systems

Partha Guha

doi:10.1016/S0960-0779(02)00002-4

Moving space curve equations and a family of coupled KdV type systems

Partha Guha

Mathematics

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

6 Scopus citations

Abstract

It is known that the Hasimoto transformation of Heisenberg ferromagnetic system yields nonlinear Schrödinger equation. In this paper we investigate a series of moving space curve equations whose Hasimoto transformations are KdV type equations. In this paper we also propose their Lax pairs.

Original language	British English
Pages (from-to)	41-46
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/S0960-0779(02)00002-4
State	Published - Jan 2003

Keywords

Coupled KdV
Hasimoto map
Lax pairs
Space curve

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10.1016/S0960-0779(02)00002-4

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title = "Moving space curve equations and a family of coupled KdV type systems",

abstract = "It is known that the Hasimoto transformation of Heisenberg ferromagnetic system yields nonlinear Schr{\"o}dinger equation. In this paper we investigate a series of moving space curve equations whose Hasimoto transformations are KdV type equations. In this paper we also propose their Lax pairs.",

keywords = "Coupled KdV, Hasimoto map, Lax pairs, Space curve",

author = "Partha Guha",

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AB - It is known that the Hasimoto transformation of Heisenberg ferromagnetic system yields nonlinear Schrödinger equation. In this paper we investigate a series of moving space curve equations whose Hasimoto transformations are KdV type equations. In this paper we also propose their Lax pairs.

KW - Coupled KdV

KW - Hasimoto map

KW - Lax pairs

KW - Space curve

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U2 - 10.1016/S0960-0779(02)00002-4

DO - 10.1016/S0960-0779(02)00002-4

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

Moving space curve equations and a family of coupled KdV type systems

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Keywords

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