التفاصيل البيبلوغرافية
| العنوان: |
CONSERVATIVE SCHEMES FOR THREE COUPLED NONLINEAR SCHRÖDINGER EQUATION. |
| المؤلفون: |
ERTUG, S., AYDIN, A. |
| المصدر: |
Applied Mathematical & Computational Sciences; Nov2016, Vol. 8 Issue 2, p43-66, 24p |
| مصطلحات موضوعية: |
NONLINEAR Schrodinger equation, ENERGY conservation, ELASTIC scattering, MASS (Physics), ELECTRIC waves |
| مستخلص: |
A nonlinear implicit energy conserving scheme and a linearly implicit mass conserving scheme are constructed for the numerical solution of a three-coupled nonlinear SchrÖdinger equation. Both methods are second order. The numerical experiments verify the theoretical results that while the nonlinear implicit scheme preserves the energy, the linearly implicit method preserves the mass of the system. In addition, the schemes are quite accurate in preservation of the other conserved quantities of the system. Elastic collision, creation of new vector soliton and fusion of soliton are observed in the solitary wave evolution. The numerical methods are proven to be highly efficient and stable in simulation of the periodic and solitary waves of the equation in long terms. [ABSTRACT FROM AUTHOR] |
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