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nlin.SI2008★ 4 cited
On the remarkable relations among PDEs integrable by the inverse spectral transform method, by the method of characteristics and by the Hopf-Cole transformation
A. I. Zenchuk, P. M. Santini
We establish deep and remarkable connections among partial differential equations (PDEs) integrable by different methods: the inverse spectral transform method, the method of chara…
nlin.SI2007★ 12 cited
Dressing method based on homogeneous Fredholm equation: quasilinear PDEs in multidimensions
A. I. Zenchuk, P. M. Santini
In this paper we develop a dressing method for constructing and solving some classes of matrix quasi-linear Partial Differential Equations (PDEs) in arbitrary dimensions. This meth…