This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. B. Shabat, “On the Cauchy problem for the Ginsburg-Landau equation,” in: Dynamics of Solid Media [in Russian], No. 1, Novosibirsk (1969), pp. 180–194.
J. B. Keller, “On the solution of nonlinear wave equations,” Commun. Pure and Appl. Math.,10, 523–530 (1957).
S. Kaplan, “On the growth of the solution of quasilinear parabolic equations,” Commun. Pure and Appl. Math.,16, 305–330 (1963).
S. N. Vlasov, V. A. Petrischev, and V. I. Talanov, “An averaged description of wave beams in nonlinear (cubic) media,” Annotated Report, Fifth All-Union Conference on Nonlinear Optics, Kishinev, 1970 [in Russian], MGU, Moscow (1970).
V. E. Zakharov, V. V. Sobolev, and V. S. Synakh, “The collapse of monochromatic waves in a medium with an inertialess nonlinearity,” Zh. Prikl. Mekh. i Tekh. Fiz., No. 1, 92–97 (1972).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 4, pp. 866–868, July–August, 1975.
Rights and permissions
About this article
Cite this article
Kudryashov, O.I. Singular solutions of nonlinear equations of Ginsburg-Landau type. Sib Math J 16, 665–667 (1975). https://doi.org/10.1007/BF00967143
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967143