On solutions of Cauchy problem for equation $u_{xx}+Q(x)u-P(u)=0$ without singularities in a given interval

DOI10.13108/2016-8-4-24zbMath1463.34031OpenAlexW2588816296MaRDI QIDQ5136196

Pavel P. Kizin, Georgy L. Alfimov

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa349

zbMATH Keywords

nonlinear Schrödinger equationsingular solutionsODE with periodic coefficients

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (1)

Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity

Cites Work

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• Coding of nonlinear states for the Gross-Pitaevskii equation with periodic potential
• Nonlinear modes for the Gross–Pitaevskii equation—a demonstrative computation approach

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