R. Radha et M. Lakshmanan, EXOTIC COHERENT STRUCTURES IN THE (2-EQUATION(1)DIMENSIONAL LONG DISPERSIVE WAVE), Journal of mathematical physics, 38(1), 1997, pp. 292-299
In this paper, we investigate the integrability aspects of the (2+1) d
imensional coupled long dispersive wave (2LDW) equation introduced rec
ently by Chakravarty, Kent, and Newman and establish its Painleve (P-)
property, We then deduce its bilinear form from the P analysis and us
e it to construct wave type solutions for the field variables. We then
identify line solitons for the composite field variable ''qr'' which
eventually helps to bring out the peculiar localization behavior of th
e system by generating localized structures (dromions) for the composi
te field from out of only one ghost soliton driving the boundary. We h
ave then extended this analysis to multidromion solutions. (C) 1997 Am
erican Institute of Physics.