Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations

By A. Ambrosetti, Eduardo Colorado, D. Ruiz. 2007

142 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e7b877ff416f5580c59c5214237d028b25edf124

Citations in the corpus

• Boundary concentration of a Gauged nonlinear Schrödinger equation on large balls (2013, unknown): “ 4 Z +1 1 U2(s) ds 2 U = Up ˆ ; in R; whereas V ˆsatisfies (20) V00 ˆ+ !V + 1 4 Z +1 1 U2(s) ds 2 V = 0; in R: We define our approximating solution as z ˆ = ˚ R(U ˆ V ˆ) 2H R, where ˚ R : [0;+1) ![0;1] is a smooth function such that ˚ R(r) = ˆ 0 if r2(0;R=4); 1 if r2(R=2;R); ; j˚0 R (r)j6 C R : Let ”