Standing lattice solitons in the discrete NLS equation with saturation

DOI10.1088/1361-6544/ab1294zbMath1423.34019arXiv1809.10828OpenAlexW3101109967MaRDI QIDQ5230001

A. S. Korobeinikov, Dmitry E. Pelinovsky, Christopher J. Lustri, Georgy L. Alfimov

Publication date: 19 August 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10828

zbMATH Keywords

discrete nonlinear Schrödinger equationoscillatory integralslattice solitonsbeyond-all-order methods

Mathematics Subject Classification ID

Additive difference equations (39A10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Ordinary lattice differential equations (34A33)

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