Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit

DOI10.1134/s0040577924040019zbMATH Open1542.35364MaRDI QIDQ6554771

S. V. Zakharov

Publication date: 13 June 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic solutionCauchy problemrenormalizationelliptic functionscubic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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