Abundant coherent structures of the (2+1)-dimensional Broer-Kaup-Kupershmidt equation

Authors
Citation
Jp. Ying et Sy. Lou, Abundant coherent structures of the (2+1)-dimensional Broer-Kaup-Kupershmidt equation, Z NATURFO A, 56(9-10), 2001, pp. 619-625
Citations number
20
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN journal
09320784 → ACNP
Volume
56
Issue
9-10
Year of publication
2001
Pages
619 - 625
Database
ISI
SICI code
0932-0784(200109/10)56:9-10<619:ACSOT(>2.0.ZU;2-E
Abstract
By using of the Backlund transformation, which is related to the standard t runcated Painleve analysis, some types of significant exact soliton solutio ns of the (2+1)-dimensional Broer-Kaup-Kupershmidt equation are obtained. A special type of soliton solutions may be described by means of the variabl e coefficient heat conduction equation. Due to the entrance of infinitely m any arbitrary functions in the general expressions of the soliton solution the solitons of the (2+1)-dimensional Broer-Kaup equation possess very abun dant structures. By fixing the arbitrary functions appropriately, we may ob tain some types of multiple straight line solitons, multiple curved line so litons, dromions, ring solitons and etc.