Article ID Journal Published Year Pages File Type
4627261 Applied Mathematics and Computation 2014 5 Pages PDF
Abstract

The KdV equation for non-uniform media with relaxation effects has extensive applications in mathematics and physics. Satsuma (1976) [20] and Hirota (1979) [21] once investigated its algebraic properties. In the paper, we shall generalize it a more general integrable equation with variable coefficients and further discuss the corresponding bilinear representation, Bäcklund transformation, Lax pair and infinite conservation laws by making use of the Bell polynomials.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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