Geodesic
Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 2, pp. 197-206

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A study is made of the influence of weak nonlinearity on the structure of the high-frequency asymptotics in the neighborhood of singular points of caustics. The properties of the resulting nonlinear analogs of the special functions of wave catastrophes are described. It is shown that these nonlinear special functions satisfy ordinary differential equations. 
@article{TMF_1994_98_2_a2,
     author = {B. I. Suleimanov},
     title = {Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {197--206},
     publisher = {mathdoc},
     volume = {98},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a2/}
}
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B. I. Suleimanov. Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 2, pp. 197-206. http://geodesic.mathdoc.fr/item/TMF_1994_98_2_a2/