Existence of dnoidal-type standing waves on the loop coupled to soliton tails on half-lines is shown via the Implicit Function Theorem, with orbital (in)stability analyzed using perturbation and Krein-von Neumann theory.
Mugnolo,Mathematical Technology of Networks, Bielefeld, December 2013, Springer Pro- ceedings in Mathematics&Statistics 128
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Existence and (in)stability of standing waves for the nonlinear Schr\"odinger Equations on looping-edge graphs with $\delta'$-type interactions
Existence of dnoidal-type standing waves on the loop coupled to soliton tails on half-lines is shown via the Implicit Function Theorem, with orbital (in)stability analyzed using perturbation and Krein-von Neumann theory.