Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
39 (1998), S. 5396-5405
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The direct linearization of a nonlinear partial differential equation, when it is possible, is a purely algebraic process, which should not imply strong conditions on the solutions at infinity. Thus, it should be possible to manage it in such a way that the relevant inversion equation is not of the Marchenko form, but others, e.g., the true Gelfand–Levitan form, which preserves the local character of the approach. This is demonstrated on the Korteweg–de Vries case. © 1998 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.532578
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