Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
758621 | Communications in Nonlinear Science and Numerical Simulation | 2011 | 9 Pages |
The non-isospectral variable-coefficient KP equation with self-consistent sources and its Grammian solutions are obtained for the first time by using the source generation procedure. Moreover, a new coupled system of the non-isospectral variable-coefficient KP equation with self-consistent sources is constructed by applying the source generation procedure and the coupled non-isospectral variable-coefficient KP equation without sources. The novel coupled system with sources cannot only be reduced to the coupled non-isospectral variable-coefficient KP equation, but also reduced to the non-isospectral variable-coefficient KP equation with self-consistent sources.
Research highlights► The non-isospectral variable-coefficient KP equation with self-consistent sources is constructed. ► A new coupled system with self-consistent sources is obtained. ► The source generation procedure is applied to the non-isospectral variable-coefficient KP equation.