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• W2000968358 abstract "Starting from a known Lax pair, one can get some infinitely many coupled Lax pairs, infinitely many nonlocal symmetries and infinitely many new integrable models in some different ways. In this paper, taking the well known Kadomtsev–Petviashvili (KP) equation as a special example, we show that infinitely many nonhomogeneous linear Lax pairs can be obtained by using infinitely many symmetries, differentiating the spectral functions with respect to the inner parameters. Using a known Lax pair and the Darboux transformations (DT), infinitely many nonhomogeneous nonlinear Lax pairs can also be obtained. By means of the infinitely many Lax pairs, DT and the conformal invariance of the Schwartz form of the KP equation, infinitely many new nonlocal symmetries can be obtained naturally. Infinitely many integrable models in (1+1)-dimensions, (2+1)-dimensions, (3+1)-dimensions and even in higher dimensions can be obtained by virtue of symmetry constraints of the KP equation related to the infinitely many Lax pairs." @default.
• W2000968358 created "2016-06-24" @default.
• W2000968358 creator A5078081085 @default.
• W2000968358 creator A5088338068 @default.
• W2000968358 date "1997-12-01" @default.
• W2000968358 modified "2023-10-17" @default.
• W2000968358 title "Infinitely many Lax pairs and symmetry constraints of the KP equation" @default.
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• W2000968358 doi "https://doi.org/10.1063/1.532219" @default.
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