Article ID Journal Published Year Pages File Type
1707615 Applied Mathematics Letters 2015 7 Pages PDF
Abstract

Under investigation in this letter is a (2+1)-dimensional generalized breaking soliton equation, which describes the (2+1)-dimensional interaction of a Riemann wave propagating along the yy-axis with a long wave along the xx-axis. A singularity analysis is carried out and it is shown that this generalized equation admits the Painlevé property for one set of parametric choices. Some integrable properties of the corresponding Painlevé integrable equation, such as its bilinear form, N-soliton solution, bilinear Bäcklund transformation, Lax pair and infinite conservation laws are derived with the binary Bell polynomials.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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