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Phys. Rev. Lett. 19, 1095–1097 (1967)

Method for Solving the Korteweg-deVries Equation

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Clifford S. Gardner, John M. Greene, Martin D. Kruskal, and Robert M. Miura
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey

Received 15 September 1967; published in the issue dated 6 November 1967

A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as |x|→. The method can be used to predict exactly the "solitons," or solitary waves, which emerge from arbitrary initial conditions. Solutions that describe any finite number of solitons in interaction can be expressed in closed form.

© 1967 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.19.1095
DOI:
10.1103/PhysRevLett.19.1095
PACS: