A new multi-component integrable coupling system for AKNS equation hierarchy with sixteen-potential functions |
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Authors: | Yu Fa-Jun and Li Li |
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Institution: | College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, China |
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Abstract: | It is shown in this paper that the upper triangular strip matrix of
Lie algebra can be used to construct a new integrable coupling
system of soliton equation hierarchy. A direct application to the
Ablowitz--Kaup--Newell-- Segur(AKNS) spectral problem leads to a
novel multi-component soliton equation hierarchy of an integrable
coupling system with sixteen-potential functions. It is indicated
that the study of integrable couplings when using the upper triangular
strip matrix of Lie algebra is an efficient and straightforward
method. |
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Keywords: | integrable coupling system upper triangular strip matrix Lie algebra |
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