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Shock waves in discrete nonlinear Schrödinger equations

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Publication:997452
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DOI10.1016/S0960-0779(98)00279-3zbMath1116.35356OpenAlexW2007509275MaRDI QIDQ997452

Vladimir V. Konotop

Publication date: 6 August 2007

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00279-3



Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)


Related Items (3)

Discrete peakons ⋮ On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrödinger Equation ⋮ Compactons in discrete nonlinear Klein-Gordon models



Cites Work

  • On the Toda shock problem
  • Solitary waves in a chain of interacting Frenkel excitons
  • On soliton creation in the nonlinear Schrodinger models: discrete and continuous versions
  • Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions
  • Nonlinear differential−difference equations
  • Nonlinear differential–difference equations and Fourier analysis
  • Shock waves in the dissipative Toda lattice


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