Geodesic
Integrability conditions for equations that describe the interaction of~colliding wave packets of~different polarizations in~nonlinear optics
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 154-157

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Possibility of integrating by the inverse scattering problem method is investigated for equations describing interaction of colliding quasimonochromatic wave packets in a medium with cubic nonlinearity. It is shown that all the integrable cases are restricted to the already known integrable case of the equations of “unsymmetrical chiral field” which corresponds to propagation of waves without the Kerr self-interaction. 
@article{TMF_1989_81_1_a13,
     author = {D. D. Tskhakaya (Jr.)},
     title = {Integrability conditions for equations that describe the interaction of~colliding wave packets of~different polarizations in~nonlinear optics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {154--157},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a13/}
}
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D. D. Tskhakaya (Jr.). Integrability conditions for equations that describe the interaction of~colliding wave packets of~different polarizations in~nonlinear optics. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 154-157. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a13/