Coupled Nonlinear Schrödinger Equations and the Miura Transformation

doi:10.1088/0256-307X/28/9/090202

Chin. Phys. Lett.

2011, Vol. 28

Issue (9): 090202 DOI: 10.1088/0256-307X/28/9/090202

GENERAL

Coupled Nonlinear Schrödinger Equations and the Miura Transformation

LOU Yan¹, ZHU Jun-Yi^2**

¹College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450052
²Department of Mathematics, Zhengzhou University, Zhengzhou 450052

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LOU Yan, ZHU Jun-Yi 2011 Chin. Phys. Lett. 28 090202

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Abstract A wide class of coupled nonlinear Schrödinger (NLS) equations are derived by virtue of the dressing method, and the associated parametric solutions are discussed. As an illustration, the explicit solution of the coupled NLS-type equation associated with σ₁ is given. The Miura transformation for a AKNS-type hierarchy is established, from which a modified coupled NLS-type equation is shown to be equivalent to the Heisenberg spin equation.

Keywords: 02.30.Ik 02.30.Jr

Received: 30 March 2011 Published: 30 August 2011

PACS:	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/9/090202 OR https://cpl.iphy.ac.cn/Y2011/V28/I9/090202

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	LOU Yan
	ZHU Jun-Yi

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