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Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE
Authors:MD Todorov  CI Christov
Affiliation:1. Dept of Diff. Equations, Faculty of Applied Math. and Informatics, Technical University of Sofia, Sofia, 1000, Bulgaria;2. Dept of Mathematics, University of Louisiana at Lafayette, LA 70504-1010, USA
Abstract:For the Coupled Nonlinear Schrödinger Equations (CNLSE) we construct a conservative fully implicit scheme (in the vein of the scheme with internal iterations proposed in C.I. Christov, S. Dost, G.A. Maugin, Inelasticity of soliton collisions in system of coupled nls equations, Physica Scripta 50 (1994) 449–454.]). Our scheme makes use of complex arithmetic which allows us to reduce the computational time fourfold. The scheme conserves the “mass”, momentum, and energy.
Keywords:02  70  -c  05  45  Yv  42  65  Tg
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