PAINLEVE ANALYSIS OF THE K(M, N) EQUATIONS WHICH YIELD COMPACTONS

Authors
BANERJEE RS
Citation
Rs. Banerjee, PAINLEVE ANALYSIS OF THE K(M, N) EQUATIONS WHICH YIELD COMPACTONS, Physica scripta. T, 57(5), 1998, pp. 598-600
Citations number
10
Categorie Soggetti
Physics
Journal title
Physica scripta. T → ACNP
ISSN journal
02811847
Volume
57
Issue
5
Year of publication
1998
Pages
598 - 600
Database
ISI
SICI code
0281-1847(1998)57:5<598:PAOTKN>2.0.ZU;2-5
Abstract
The results of a Painleve analysis of the K-dV equations with nonlinea r dispersion; K(m, n):U-t + (Um)(x) + (U-n)(xxx) = 0, where both m and n can take the values 2 and 3 are presented. It is shown that K(2, 2) , K(2, 3), K(3, 3) and K(3, 2) [which yield solitary waves with compac t support] do not possess the Painleve property.