Abstract
The existence of exponentially localized structures in a (2+1)-dimensional breaking soliton equation is studied here. A singularity structure analysis of the (2+1)-dimensional breaking soliton equation is carried out and it is shown that it admits the Painlevé property for a specific parametric choice. Hirota's bilinear form of the corresponding P-type equation is generated from the Painlevé analysis in a straightforward manner. The bilinear form is then used to show that the variable ∫ x −∞ u y dx′ (modulo a boundary term) admits exponentially localized solutions rather than the physical field u( x,y,t) itself.
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