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We consider a (2+1)-dimensional sinh-Gordon equation and show its integrability through bilinear method. A Pfaffian version of the (2+1)-dimensional sinh-Gordon equation is also presented.
We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions expressed in terms of the Casorati determinants are given through Wronskian technique. The Lax presentation for the special two-dimensional lattice with self-consistent sources is derived from bilinear Biicklund transformation.
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