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Application of the optimal homotopy asymptotic method for the solution of the Korteweg–de Vries equation

✍ Scribed by M. Idrees; S. Islam; S.I.A. Tirmizi; Sirajul Haq


Book ID
113796647
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
301 KB
Volume
55
Category
Article
ISSN
0895-7177

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✍ G. Scharf; W.F. Wreszinski 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 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