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Asymptotic behaviour of solutions of the Korteweg-de Vries equation

โœ Scribed by G. Scharf; W.F. Wreszinski

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
202 KB
Volume
99
Category
Article
ISSN
0375-9601

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๐Ÿ“œ SIMILAR VOLUMES

Asymptotic behaviour of solutions of the
Asymptotic behaviour of solutions of the Korteweg-de Vries equation
โœ G. Scharf; W.F. Wreszinski ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 966 KB

A rigorous proof that any solution of the Kortewegde Vries equation with smooth initial data decaying sufliciently fast at infinity tends as t --$ kcci to a pure N-soliton solution at a spatially uniform rate of 1 II-'E is provided. It is also proved that the solitonless solutions have a spatially u

Asymptotic behaviour of solutions of the
Asymptotic behaviour of solutions of the Korteweg-De Vries equation: G. Schare, Institut fรผr Theoretische Physik der Universitรคt Zรผrich, Schรถnberggasse 9, CH-8001 Zรผrich, Switzerland; and W. F. Wreszinski, Instituto de Fรญsica, Universidade de Sรฃo Paule, Caรฏxa Postal 20516, Sรฃo Paule, Brazil
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Hawking's ('-function regularization method is used to obtain the effective QCD Lagrangian for ordinary quarks moving in some constant background field. The general context is Adler's mean-field approximation to QCD, and an extension of his results is obtained for three particular models. Namely, at