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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:

35Q35 PDEs in connection with fluid mechanics
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
35Q51 Soliton equations
58J53 Isospectrality
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