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• W2789695739 abstract "Abstract By following the ideas presented by Fukumoto and Miyajima in Fukumoto and Miyajima (1996) we derive a generalized method for constructing integrable nonlocal equations starting from any bi-Hamiltonian hierarchy supplied with a recursion operator. This construction provides the right framework for the application of the full machinery of the inverse scattering transform. We pay attention to the Pohlmeyer–Lund–Regge equation coming from the nonlinear Schrodinger hierarchy and construct the formula for the reflectionless potential solutions which are generalizations of multi-solitons. Some explicit examples are discussed." @default.
• W2789695739 created "2018-03-29" @default.
• W2789695739 creator A5027280054 @default.
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• W2789695739 date "2018-04-01" @default.
• W2789695739 modified "2023-09-27" @default.
• W2789695739 title "Nonlocal integrable PDEs from hierarchies of symmetry laws: The example of Pohlmeyer–Lund–Regge equation and its reflectionless potential solutions" @default.
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• W2789695739 doi "https://doi.org/10.1016/j.geomphys.2018.01.020" @default.
• W2789695739 hasPublicationYear "2018" @default.
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