Geodesic
The dual $\overline \partial$-problem, $(2+1)$-dimensional nonlinear evolution equations and their reductions
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 371-382 
A. I. Zenchuk; S. V. Manakov. The dual $\overline \partial$-problem, $(2+1)$-dimensional nonlinear evolution equations and their reductions. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 371-382. http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a2/
@article{TMF_1995_105_3_a2,
     author = {A. I. Zenchuk and S. V. Manakov},
     title = {The dual $\overline \partial$-problem, $(2+1)$-dimensional nonlinear evolution equations and their reductions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {371--382},
     year = {1995},
     volume = {105},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The dual $\overline \partial$-problem with arbitrary normalization is used for compact description of integrable nonlinear PDE's with singular dispersion relations in $(2+1)$-dimensions. Various symmetry reductions and corresponding Lax representations for them are found. The singular KP-hierarchy and Schrödinger equation with magnetyic field are considered as the examples.

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