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The multisoliton solutions for the nonisospectral mKPI equation with self-consistent sources. (English) Zbl 1217.35141
Summary: The nonisospectral mKPI equation with self-consistent sources is derived through the linear problem of the nonisospectral mKPI system. The bilinear form of the nonisospectral mKPI equation with self-consistent sources is given and the N-soliton solutions are obtained through Hirota method and Wronskian technique respectively.
MSC:
35Q35PDEs in connection with fluid mechanics
37J35Completely integrable systems, topological structure of phase space, integration methods
35Q51Soliton-like equations
58J53Isospectrality (PDE on manifolds)