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On invariant solutions of the generalised Korteweg-de Vries-Burgers type equations—II

✍ Scribed by O.P Bhutani; G Chandrasekaran; Poornima Mital; K.Vijay Kumar


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
549 KB
Volume
27
Category
Article
ISSN
0020-7225

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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