A Bäcklund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy
Keyword(s):
Lax Pair
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AbstractA hierarchy of bilinear Lotka-Volterra equations with a unified structure is proposed. The bilinear Bäcklund transformation for this hierarchy and the corresponding canonical Lax pair are obtained. Furthermore, the nonlinear superposition formula is proved rigorously.
2003 ◽
Vol 72
(12)
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pp. 3075-3078
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2009 ◽
Vol 357
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pp. 132-136
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2008 ◽
Vol 372
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pp. 6273-6279
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A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair
2008 ◽
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pp. 593-600
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2011 ◽
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pp. 723-733
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pp. 284-301
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pp. 045002
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pp. 294003
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1998 ◽
Vol 31
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pp. 4755-4761
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