Inverse Scattering Transform in Squared Spectral Parameter for DNLS Equation under Vanishing Boundary Conditions

Chin. Phys. Lett.

2008, Vol. 25

Issue (7): 2403-2406 DOI:

Original Articles

Inverse Scattering Transform in Squared Spectral Parameter for DNLS Equation under Vanishing Boundary Conditions

HE Jin-Chun¹, CHEN Zong-Yun², YAN Tian³, HUANG Nian-Ning³

¹Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074²Department of Physics, Huazhong University of Science and Technology, Wuhan 430074³Department of Physics, Wuhan University, Wuhan 430072

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HE Jin-Chun, CHEN Zong-Yun, YAN Tian et al 2008 Chin. Phys. Lett. 25 2403-2406

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Abstract After a transformation, the inverse scattering transform for the derivative nonlinear Schrödinger (DNLS) equation is developed in terms of squared spectral parameter. Following this approach, we obtain the orthogonality and completeness relations of free Jost solutions, which is impossibly constructed with usual spectral parameter in the previous works. With the help these relations, the Zakharov--Shabat equations as well as Marchenko equations of IST are derived in the standard way.

Keywords: 05.45.Yv 52.35.Bj 42.81.Dp

Received: 06 January 2008 Published: 26 June 2008

PACS:	05.45.Yv	(Solitons)
	52.35.Bj	(Magnetohydrodynamic waves (e.g., Alfven waves))
	42.81.Dp	(Propagation, scattering, and losses; solitons)

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	HE Jin-Chun
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