Nonlinear Schrödinger family on moving space curves: lax pairs, soliton solution and equivalent spin chain

Porsezian, K. (1998) Nonlinear Schrödinger family on moving space curves: lax pairs, soliton solution and equivalent spin chain Chaos, Solitons & Fractals, 9 (10). pp. 1709-1722. ISSN 0960-0779

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0960-0779(97)00132-X

Abstract

The close connection between the Hasimoto type theory of vortex filament motion, soliton equations and continuum spin chains is reviewed. Using space curve formalism, we show that the completely integrable homogeneous and inhomogeneous nonlinear Schrödinger (NLS) type equations, such as mixed derivative NLS, extended NLS, higher order NLS, inhomogeneous NLS, circularly and radially symmetric NLS, and generalized inhomogeneous radially symmetric NLS equations, can be mapped on to certain types of moving helical space curves. We also briefly discuss the Lax pairs, one soliton solution and equivalent spin chain of the above integrable NLS type equations.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:83917
Deposited On:23 Feb 2012 12:31
Last Modified:23 Feb 2012 12:31

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