Discrete Traveling Solitons in the Salerno Model

DOI10.1137/080715408zbMath1171.34041OpenAlexW2067402298MaRDI QIDQ3631973

Dmitry E. Pelinovsky, Thomas Melvin, Alan R. Champneys

Publication date: 23 June 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a625234f57023ff8aa8f77846c375d496f9ccc13

zbMATH Keywords

traveling wave solutionsdiscrete nonlinear Schrödinger equationSalerno modelbeyond all orders asymptoticscomputations of Stokes constants

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) General theory of functional-differential equations (34K05) Lattice dynamics; integrable lattice equations (37K60) Invariant manifolds of functional-differential equations (34K19) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

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