Exact Multi-line Soliton Solutions of Noncommutative KP Equation
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概要
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A method of solving noncommutative linear algebraic equations plays a key role in the extension of the α^^~-dressing method on the noncommutative space-time manifold. In this paper, a solution-generating method of noncommutative linear algebraic equations is proposed. By use of the proposed method, a class of multi-line soliton solutions of noncommutative KP (ncKP) equation is constructed explicitly. The method is expected to be of use for constructions of noncommutative soliton equations. The significance of the noncommutativity of coordinates is investigated. It is found that the noncommutativity of the space-time coordinate has a role to split the spatial waveform of the classical multi-line solitons and reform it to a new configuration.
- 社団法人日本物理学会の論文
- 2003-08-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Wang Ning
Department Of Animal Science And Technology Northeast Agricultural University
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Wang Ning
Department Of Physics Ocean University Of China:department Of Physics Graduate School Of Science Uni
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WANG Ning
Department of Anesthesiology, Jiangyin Hospital Affiliated to Medical College of South-East University
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