Recently, the (2 + 1)-dimensional modified Kadomtsev-Petviashvili (mKP) equation was decomposed into two known (1 + 1)-dimensional soliton equations by Dai and Geng [H.H. Dai, X.G. Geng, J. Math. Phys. 41 (2000) 7501]. In the present paper, a systematic and simple method is proposed for constructing
Sequences of Levy transformations and multi-Wroński determinant solutions of the Darboux system
✍ Scribed by Q.P. Liu; Manual Mañas
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 383 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0393-0440
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✦ Synopsis
Sequences of Levy transformations for the Darboux system of conjugates nets in multiclimensions are studied. We show that after a suitable number of Levy transformations, with at least a Levy transformation in each direction, we get closed formulae in terms of multi-Wroiiski determinants. These formulae are for the tangent vectors, LamC coefficients, rotation coefficients and points of the surface. 0 1998 Elsevier Science B.V.
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