期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 72, 期 3, 页码 496-500出版社
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.72.496
关键词
soliton; inhomogeneous; 2+1 dimension; Darboux transformation
We present 2+1 dimensional soliton equations of inhomogeneous tape which are derived systematically using the covariance with respect to the Darboux transformation. By setting Darboux invariants to be explicit functions of space-time, we obtain nonlinear equations describing soliton propagation in media with inhomogeneities. Darboux covariant equations obtained here include the inhomogeneously generalized Davey-Stewartson equation, the 2+1 dimensional modified Korteweg-de Vries equation and other binary Darboux covariant equations of inhomogeneous type.
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