Coupled nonlinear schrödinger equations for solitary-wave and kink signals propagating in discrete nonlinear dispersive transmission lines

E. Kengne, R. Vaillancour, B. A. Malomed

Research output: Contribution to journalArticlepeer-review

Abstract

A system of coupled nonlinear Schrödinger (CNLS) equations is derived, starting with a model for an electric LC transmission line, in which nonlinear capacitance C is approximated, as a function of voltage V, by a general truncated expansion, C(V) = C0(1 - αV + βV2 + ⋯). Within the framework of the CNLS equations, we obtain exact solutions for solitary-wave and kink-anti-kink complexes, at specific relations between the XPM and SPM coefficients. The modulational stability of uniform states with constant amplitudes in the framework of the pair of CNLS equations is analyzed too.

Original languageEnglish
Pages (from-to)133-147
Number of pages15
JournalInternational Journal of Modern Physics B
Volume23
Issue number2
DOIs
StatePublished - 20 Jan 2009

Keywords

  • Kink signal
  • Nonlinear Schrödinger equation
  • Solitary wave signal

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