Logarithmic NLS equation on star graphs: existence and stability of standing waves.

zbMath1413.76016arXiv1611.03319MaRDI QIDQ2402129

Alex H. Ardila

Publication date: 6 September 2017

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03319

zbMATH Keywords

weak solutionground statecritical pointstationary solution

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (7)

Orbital stability of standing waves for supercritical NLS with potential on graphs ⋮ Nonlinear instability of half-solitons on star graphs ⋮ On the standing waves of the NLS-log equation with a point interaction on a star graph ⋮ The Korteweg-de Vries equation on a metric star graph ⋮ Stability of KdV solitons on the half-line ⋮ Unnamed Item ⋮ Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction

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