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Zbl 1219.35255
Sun, Ye-Peng; Tam, Hon-Wah
New type of nonisospectral KP equation with self-consistent sources and its bilinear Bäcklund transformation. (English)
[J] J. Nonlinear Math. Phys. 18, No. 2, 323-336 (2011). ISSN 1402-9251; ISSN 1776-0852/e

Summary: A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation.

MSC 2000:: *35Q53 KdV-like equations
37K05 Hamiltonian structures, etc.
37K10 Completely integrable systems etc.
37K35 Lie-Bäcklund and other transformations

Keywords: nonisospectral KP equation; Bäcklund transformation; source generation procedure; soliton solution

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