On bilinear representations and infinite conservation laws of a nonlinear variable-coefficient equation
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摘要
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.
论文关键词:Variable-coefficient equation,Conservation law,Bell polynomial
论文评审过程:Available online 28 October 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.09.128