期刊
CHAOS
卷 25, 期 10, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4931710
关键词
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资金
- Australian Research Council [DP140100265]
- Volkswagen Stiftung
- Endeavour Postgraduate Award
We present an infinite nonlinear Schrodinger equation hierarchy of integrable equations, together with the recurrence relations defining it. To demonstrate integrability, we present the Lax pairs for the whole hierarchy, specify its Darboux transformations and provide several examples of solutions. These resulting wavefunctions are given in exact analytical form. We then show that the Lax pair and Darboux transformation formalisms still apply in this scheme when the coefficients in the hierarchy depend on the propagation variable (e.g., time). This extension thus allows for the construction of complicated solutions within a greatly diversified domain of generalised nonlinear systems. (C) 2015 AIP Publishing LLC.
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