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Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions

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  • Aydın, Ayhan

Abstract

N-coupled nonlinear Schrödinger equation (N-CNLS) is shown to be in multisymplectic form. 3-CNLS equation is studied for analytical and numerical purposes. A new six-point scheme which is equivalent to the multisymplectic Preissman scheme is derived for 3-CNLS equation. A new periodic wave solution is obtained and its stability analysis is discussed. 3-CNLS equation is integrated for destabilized periodic solutions both for integrable and non-integrable cases by multisymplectic six-point scheme. Different kinds of evolutions are observed for different parameters and coefficients of the system. Numerical results show that, the multisymplectic six-point scheme has excellent local and global conservation properties in long-time computation.

Suggested Citation

  • Aydın, Ayhan, 2009. "Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 735-751.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:735-751
    DOI: 10.1016/j.chaos.2008.03.011
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