Geodesic
On the connection between “pseudopotentials” and the inverse scattering problem method
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 3, pp. 335-344 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A method is proposed by means of which one can in principle decide whether a given nonlinear differential equation has an $L$-$A$-pair and construct this pair. The method is applied to the equation describing the nonresonant interaction of electromagnetic radiation with a two-level medium. 
@article{TMF_1978_36_3_a4,
     author = {V. A. Andreev},
     title = {On the connection between {\textquotedblleft}pseudopotentials{\textquotedblright} and the inverse scattering problem method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {335--344},
     year = {1978},
     volume = {36},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a4/}
}
TY  - JOUR
AU  - V. A. Andreev
TI  - On the connection between “pseudopotentials” and the inverse scattering problem method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 335
EP  - 344
VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a4/
LA  - ru
ID  - TMF_1978_36_3_a4
ER  - 
%0 Journal Article
%A V. A. Andreev
%T On the connection between “pseudopotentials” and the inverse scattering problem method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 335-344
%V 36
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a4/
%G ru
%F TMF_1978_36_3_a4
V. A. Andreev. On the connection between “pseudopotentials” and the inverse scattering problem method. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 3, pp. 335-344. http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a4/

[1] H. D. Wahlquist, F. B. Estabrook, J. Math. Phys., 16 (1975), 1 | DOI | MR | Zbl

[2] J. Corones, J. Math. Phys., 17 (1976), 756 | DOI | MR | Zbl

[3] F. B. Estabrook, H. D. Wahlquist, J. Math. Phys., 17 (1976), 1293 | DOI | MR | Zbl

[4] J. Corones, J. Math. Phys., 18 (1977), 125 | MR

[5] H. C. Morris, J. Math. Phys., 18 (1977), 533 | DOI | MR

[6] I. A. Poluektov, Yu. M. Popov, V. S. Roitberg, UFN, 114 (1974), 97 | DOI | MR

[7] L. A. Takhtadzhyan, ZhETF, 66 (1974), 476

[8] V. E. Zakharov, A. B. Shabat, Funkts. analiz i ego prilozh., 8 (1974), 43 | Zbl

[9] H. C. Morris, J. Math. Phys., 17 (1976), 1810 | DOI | MR

[10] J. D. Gibbon, P. J. Caudrey, R. K. Bullough, J. C. Eilbeck, Lett. Nuovo Cim., 8 (1973), 775 | DOI

[11] G. L. Lamb, Phys. Rev., A12 (1975), 1503

[12] G. L. Lamb, Phys. Rev., A12 (1975), 2052 | DOI

[13] V. E. Zakharov, A. B. Shabat, ZhETF, 61 (1971), 118