Soliton fission and fusion of a new two-component Korteweg-de Vries (KdV) equation
In this paper, the Painleve test is performed for a new two-component Korteweg-de Vries (KdV) equation proposed by Foursov. It is shown that this equation passes the integrability test and is P-integrable. By means of the truncated singular expansion, some explicit solutions from the trivial zero solution are derived. The phenomena of soliton fission and fusion are studied in detail. (C) 2011 Elsevier Ltd. All rights reserved.
soliton fission and fusion two-component korteweg-de vries (kdv) equation painleve test truncation method