Geodesic
Complex Whitham deformations in the problems with ``integrable instability''
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 393-419

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The focusing nonlinear Schrödinger equation with finite-density boundary conditions as $|x|\!\to \!\infty$ is considered. The asymptotic behavior of the solution as $t\!\to \!\infty$ is investigated by means of the complex theory of $\zeta$ deformations of Whitham. 
@article{TMF_1995_104_3_a1,
     author = {R. F. Bikbaev},
     title = {Complex {Whitham} deformations in the problems with ``integrable instability''},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--419},
     publisher = {mathdoc},
     volume = {104},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a1/}
}
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R. F. Bikbaev. Complex Whitham deformations in the problems with ``integrable instability''. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 393-419. http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a1/