TY - JOUR
T1 - On Classification of Integrable Davey-Stewartson Type Equations
AU - Huard, Benoit
AU - Novikov, Vladimir
PY - 2013
Y1 - 2013
N2 - This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax pair. A perturbative approach based on the method of hydrodynamic reductions is employed to recover the integrable systems along with their Lax pairs. Some of the found systems seem to be new.
AB - This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax pair. A perturbative approach based on the method of hydrodynamic reductions is employed to recover the integrable systems along with their Lax pairs. Some of the found systems seem to be new.
KW - Davey-Stewartson equations
KW - dispersive deformations
KW - hydrodynamic reductions
KW - lax pairs
UR - http://iopscience.iop.org/1751-8121
UR - https://www.scopus.com/pages/publications/84879596148
U2 - 10.1088/1751-8113/46/27/275202
DO - 10.1088/1751-8113/46/27/275202
M3 - Article
SN - 0305-4470
VL - 46
SP - 275
EP - 202
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 27
ER -